GCF of 896/101, 952/157
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 896/101, 952/157 i.e 56/15857 easily. The following is the detailed procedure to determine the greatest common factor of fractions 896/101, 952/157.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 896/101,952/157?
Given fractions are 896/101,952/157
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 896/101,952/157, numerators are 896,952
Denominators are 101,157
The GCF of 896,952 is 56 .
LCM of 101,157 is 15857.
The greatest common factor of 896/101,952/157 = [GCF of 896,952]/[LCM of 101,157]= 56/15857
Therefore, the GCF of 896/101,952/157 is 56/15857.
To find the highest common factor of 896,952, we have to find the factors of both numbers and list the highest common factor.
The factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
The factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
The HCF of 896,952 is 56.
Lets's calculate GCF of 896,952
| 2 | 896, 952 |
| 2 | 448, 476 |
| 2 | 224, 238 |
| 7 | 112, 119 |
| 16, 17 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Greatest Common Factor of 896,952 By Matching Biggest Common Factor Method
Now, list down the factors of 896
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Now, list down the factors of 952
:1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Greatest Common Factor
We found the factors 896,952 . The biggest common factor number is the GCF number.
So the greatest common factor 896,952 is 56.
Lets's calculate LCM of 101,157
Given numbers has no common factors except 1. So, there LCM is their product i.e 15857
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/15857
Therefore, the GCF of Fractions 896/101,952/157 is 56/15857
Least Common Multiple of 101,157 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 101,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,157) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,157) x common factors =1 x 1 = 1
LCM(101,157) = ( 101 × 157 ) / 1
LCM(101,157) = 15857 / 1
LCM(101,157) = 15857
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FAQs on GCF of Fractions of 896/101, 952/157
1. What is the HCF of 896,952?
The HCF of 896,952 is 56
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 896/101, 952/157?
Answer: GCF of Numerators as per given numbers 896/101, 952/157 is
GCF of Numerators i.e. for 896,952 is 56
LCM of denominators i.e. for 101,157 is 15857.
Thus, GCF of Fractions is 56/15857.Finally, GCF of Fractions for 896/101, 952/157 is 56/15857.