Highest Common Factor
Highest Common Factor
The highest number that divides exactly into two or more numbers.It is the "greatest" thing for simplifying fractions.
To find the highest common factor of two (or more) numbers, make prime factors of the numbers and identify the common prime factors. Then the highest common factor is the product of the common prime factors.
Illustration 1: Find HCF of 8 and 12 .
Solution: Factors of 8 : 1,2,4,8
Factors of 12 : 1,2,3,4,6,12
So, the common factors of 8 and 12 are:1,2,4
HCF = 4
Illustration 2: Find HCF of 10 and 12 .
Solution: Factors of 10 : 1,2,5,10
Factors of 12 : 1,2,3,4,6,12
So, the common factors of 10 and 12 are:1,2
HCF = 2
Illustration 3: Find HCF of 10,20 and 30 .
Solution: Factors of 10 : 1,2,5,10
Factors of 20 : 1,2,4,5,10,20
Factors of 30 : 1,2,3,5,6,10,15,30
So, the common factors of 10,20 and 30 are:1,2,5,10
HCF = 10
L.C.M. of two co-prime numbers is their: | |||
| Right Option : C | |||
| View Explanation | |||
Joberah bakes 30 strawberry flavoured cookies, 42 chocolate flavoured cookies and 63 butterscotch flavoured cookies. She makes a pack of cookies containing same number of cookies of each type paked in each box. What is the greatest number of cookies of each type which can be packed ? | |||
| Right Option : C | |||
| View Explanation | |||
H.C.F. of two co-prime numers is _____________ | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [10]
My experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
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
8thA 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
7thMy 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.
Ayan Ghosh
8thAbhyas 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
10thIt 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
10thIt 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
8thAbhyas 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
10thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Yatharthi Sharma
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.
