GCF of 968/557, 1314/932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 968/557, 1314/932 i.e 2/519124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 968/557, 1314/932.
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 968/557,1314/932?
Given fractions are 968/557,1314/932
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 968/557,1314/932, numerators are 968,1314
Denominators are 557,932
The GCF of 968,1314 is 2 .
LCM of 557,932 is 519124.
The greatest common factor of 968/557,1314/932 = [GCF of 968,1314]/[LCM of 557,932]= 2/519124
Therefore, the GCF of 968/557,1314/932 is 2/519124.
To find the highest common factor of 968,1314, we have to find the factors of both numbers and list the highest common factor.
The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
The factors of 1314 are 1, 2, 3, 6, 9, 18, 73, 146, 219, 438, 657, 1314
The HCF of 968,1314 is 2.
Lets's calculate GCF of 968,1314
| 2 | 968, 1314 |
| 484, 657 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 968,1314 By Matching Biggest Common Factor Method
Now, list down the factors of 968
:1,2,4,8,11,22,44,88,121,242,484,968
Now, list down the factors of 1314
:1,2,3,6,9,18,73,146,219,438,657,1314
Greatest Common Factor
We found the factors 968,1314 . The biggest common factor number is the GCF number.
So the greatest common factor 968,1314 is 2.
Lets's calculate LCM of 557,932
Given numbers has no common factors except 1. So, there LCM is their product i.e 519124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/519124
Therefore, the GCF of Fractions 968/557,1314/932 is 2/519124
Least Common Multiple of 557,932 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 557,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,932) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,932) x common factors =1 x 1 = 1
LCM(557,932) = ( 557 × 932 ) / 1
LCM(557,932) = 519124 / 1
LCM(557,932) = 519124
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FAQs on GCF of Fractions of 968/557, 1314/932
1. What is the HCF of 968,1314?
The HCF of 968,1314 is 2
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 968/557, 1314/932?
Answer: GCF of Numerators as per given numbers 968/557, 1314/932 is
GCF of Numerators i.e. for 968,1314 is 2
LCM of denominators i.e. for 557,932 is 519124.
Thus, GCF of Fractions is 2/519124.Finally, GCF of Fractions for 968/557, 1314/932 is 2/519124.