Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 657/757,7791/3388
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 657,7791
Greatest Common Factor of Numerators i.e. GCF of 657,7791 is 3 .
LCM of Denominators means LCM of 757,3388 as per the given fractions.
LCM of 757,3388 is 2564716 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 657,7791
3 | 657, 7791 |
219, 2597 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Factors of 7791
List of positive integer factors of 7791 that divides 7791 without a remainder.
1,3,7,21,49,53,147,159,371,1113,2597,7791
Greatest Common Factor
We found the factors 657,7791 . The biggest common factor number is the GCF number.
So the greatest common factor 657,7791 is 3.
Lets's calculate LCM of 757,3388
Given numbers has no common factors except 1. So, there LCM is their product i.e 2564716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2564716
Therefore, the GCF of Fractions 657/757,7791/3388 is 3/2564716
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 757,3388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,3388) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,3388) x common factors =1 x 1 = 1
LCM(757,3388) = ( 757 × 3388 ) / 1
LCM(757,3388) = 2564716 / 1
LCM(757,3388) = 2564716
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 657/757, 7791/3388?
Answer: GCF of Numerators as per given numbers 657/757, 7791/3388 is
GCF of Numerators i.e. for 657,7791 is 3
LCM of denominators i.e. for 757,3388 is 2564716.
Thus, GCF of Fractions is 3/2564716.Finally, GCF of Fractions for 657/757, 7791/3388 is 3/2564716.