Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6177/516,3877/108
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 6177,3877
Greatest Common Factor of Numerators i.e. GCF of 6177,3877 is 1 .
LCM of Denominators means LCM of 516,108 as per the given fractions.
LCM of 516,108 is 4644 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6177,3877
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6177
List of positive integer factors of 6177 that divides 6177 without a remainder.
1,3,29,71,87,213,2059,6177
Factors of 3877
List of positive integer factors of 3877 that divides 3877 without a remainder.
1,3877
Greatest Common Factor
We found the factors 6177,3877 . The biggest common factor number is the GCF number.
So the greatest common factor 6177,3877 is 1.
Lets's calculate LCM of 516,108
2 | 516, 108 |
2 | 258, 54 |
3 | 129, 27 |
43, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 43 x 9 = 4644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4644
Therefore, the GCF of Fractions 6177/516,3877/108 is 1/4644
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 516,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,108) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(516,108) x common factors =12 x 1 = 12
LCM(516,108) = ( 516 × 108 ) / 12
LCM(516,108) = 55728 / 12
LCM(516,108) = 4644
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 6177/516, 3877/108?
Answer: GCF of Numerators as per given numbers 6177/516, 3877/108 is
GCF of Numerators i.e. for 6177,3877 is 1
LCM of denominators i.e. for 516,108 is 4644.
Thus, GCF of Fractions is 1/4644.Finally, GCF of Fractions for 6177/516, 3877/108 is 1/4644.