Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3724/780,5657/877
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 3724,5657
Greatest Common Factor of Numerators i.e. GCF of 3724,5657 is 1 .
LCM of Denominators means LCM of 780,877 as per the given fractions.
LCM of 780,877 is 684060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3724,5657
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3724
List of positive integer factors of 3724 that divides 3724 without a remainder.
1,2,4,7,14,19,28,38,49,76,98,133,196,266,532,931,1862,3724
Factors of 5657
List of positive integer factors of 5657 that divides 5657 without a remainder.
1,5657
Greatest Common Factor
We found the factors 3724,5657 . The biggest common factor number is the GCF number.
So the greatest common factor 3724,5657 is 1.
Lets's calculate LCM of 780,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 684060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/684060
Therefore, the GCF of Fractions 3724/780,5657/877 is 1/684060
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 780,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(780,877) x common factors =1 x 1 = 1
LCM(780,877) = ( 780 × 877 ) / 1
LCM(780,877) = 684060 / 1
LCM(780,877) = 684060
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 3724/780, 5657/877?
Answer: GCF of Numerators as per given numbers 3724/780, 5657/877 is
GCF of Numerators i.e. for 3724,5657 is 1
LCM of denominators i.e. for 780,877 is 684060.
Thus, GCF of Fractions is 1/684060.Finally, GCF of Fractions for 3724/780, 5657/877 is 1/684060.