GCF of 9796/157, 5268/860
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9796/157, 5268/860 i.e 4/135020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9796/157, 5268/860.
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 9796/157,5268/860?
Given fractions are 9796/157,5268/860
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 9796/157,5268/860, numerators are 9796,5268
Denominators are 157,860
The GCF of 9796,5268 is 4 .
LCM of 157,860 is 135020.
The greatest common factor of 9796/157,5268/860 = [GCF of 9796,5268]/[LCM of 157,860]= 4/135020
Therefore, the GCF of 9796/157,5268/860 is 4/135020.
To find the highest common factor of 9796,5268, we have to find the factors of both numbers and list the highest common factor.
The factors of 9796 are 1, 2, 4, 31, 62, 79, 124, 158, 316, 2449, 4898, 9796
The factors of 5268 are 1, 2, 3, 4, 6, 12, 439, 878, 1317, 1756, 2634, 5268
The HCF of 9796,5268 is 4.
Lets's calculate GCF of 9796,5268
| 2 | 9796, 5268 |
| 2 | 4898, 2634 |
| 2449, 1317 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9796,5268 By Matching Biggest Common Factor Method
Now, list down the factors of 9796
:1,2,4,31,62,79,124,158,316,2449,4898,9796
Now, list down the factors of 5268
:1,2,3,4,6,12,439,878,1317,1756,2634,5268
Greatest Common Factor
We found the factors 9796,5268 . The biggest common factor number is the GCF number.
So the greatest common factor 9796,5268 is 4.
Lets's calculate LCM of 157,860
Given numbers has no common factors except 1. So, there LCM is their product i.e 135020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/135020
Therefore, the GCF of Fractions 9796/157,5268/860 is 4/135020
Least Common Multiple of 157,860 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 157,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,860) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,860) x common factors =1 x 1 = 1
LCM(157,860) = ( 157 × 860 ) / 1
LCM(157,860) = 135020 / 1
LCM(157,860) = 135020
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FAQs on GCF of Fractions of 9796/157, 5268/860
1. What is the HCF of 9796,5268?
The HCF of 9796,5268 is 4
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 9796/157, 5268/860?
Answer: GCF of Numerators as per given numbers 9796/157, 5268/860 is
GCF of Numerators i.e. for 9796,5268 is 4
LCM of denominators i.e. for 157,860 is 135020.
Thus, GCF of Fractions is 4/135020.Finally, GCF of Fractions for 9796/157, 5268/860 is 4/135020.