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
H.C.F of 36 and 144 is ____________ | |||
| Right Option : A | |||
| View Explanation | |||
HCF of 24 and 36 is______________ | |||
| Right Option : D | |||
| 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 | |||
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It 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.
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