Statement Sums Involving H.C.F.
Statement Sums Involving H.C.F.
These are the following methods , used to solve the statement problems of HCF :
1. In HCF, if some remainders are given, then firstly those remainders are subtracted from the numbers given and then their HCF is calculated.
2. Sometimes in HCF questions, the required remainder is given and when the remainder is not given, in those cases you will generally have three numbers given. For answering the question, you need to take the difference of the three pairs of numbers, now the HCF of these differences will become the answer.
3. Whenever the question talks about the greatest or maximum, then in most of these cases it will be a question of HCF. Secondly, whenever the question is related to classification or distribution into groups, then in all the cases it is HCF only.
Illustration 1 : Find the greatest number which when divides 259 and 465 leaves remainders 4 and 6 respectively.
Solution: Here, the numbers 259 and 465 leave the remainders 4 and 6 respectively. So, the required number will be obtained by finding the H.C.F. of 259 – 4 = 255 and 465 – 6 = 459.
Factors of 255 = 5 51 and Factors of 459 = 3
3
51.
The HCF of 255 and 459 is 51 which is the number.
Illustration 2 : Find the greatest number, which when divides 41, 71 and 91, leaves the same remainder in each case.
Solution: Take the difference between all the three pairs of numbers and their HCF will be the answer i.e. 91 – 41 = 50, 71 – 41 = 30 and 91 – 71 = 20.
Factors of 50 = 2 5
5 , Factors of 30 = 2
3
5 and factors of 20 = 2
2
5
The HCF of 50, 30 and 20 is 10.
Find the largest number that divides 2053 and 967 and leaves a remainder of 5 and 7 respectively. | |||
| Right Option : C | |||
| View Explanation | |||
Two tankers contain 850 litres and 680 litres of petrol respectively . Find the maximum capacity of container which can measure the petrol of either tanker in exact number of times . | |||
| Right Option : A | |||
| View Explanation | |||
Find the greatest number which when divides 150 and 392 leaves remainders 4 and 6 respectively. | |||
| Right Option : C | |||
| View Explanation | |||
Students / Parents Reviews [10]
It has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Shivam Rana
7thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
8thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
