Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5716/572,6475/412
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 5716,6475
Greatest Common Factor of Numerators i.e. GCF of 5716,6475 is 1 .
LCM of Denominators means LCM of 572,412 as per the given fractions.
LCM of 572,412 is 58916 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5716,6475
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5716
List of positive integer factors of 5716 that divides 5716 without a remainder.
1,2,4,1429,2858,5716
Factors of 6475
List of positive integer factors of 6475 that divides 6475 without a remainder.
1,5,7,25,35,37,175,185,259,925,1295,6475
Greatest Common Factor
We found the factors 5716,6475 . The biggest common factor number is the GCF number.
So the greatest common factor 5716,6475 is 1.
Lets's calculate LCM of 572,412
2 | 572, 412 |
2 | 286, 206 |
143, 103 |
∴ So the LCM of the given numbers is 2 x 2 x 143 x 103 = 58916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58916
Therefore, the GCF of Fractions 5716/572,6475/412 is 1/58916
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 572,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,412) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(572,412) x common factors =4 x 1 = 4
LCM(572,412) = ( 572 × 412 ) / 4
LCM(572,412) = 235664 / 4
LCM(572,412) = 58916
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 5716/572, 6475/412?
Answer: GCF of Numerators as per given numbers 5716/572, 6475/412 is
GCF of Numerators i.e. for 5716,6475 is 1
LCM of denominators i.e. for 572,412 is 58916.
Thus, GCF of Fractions is 1/58916.Finally, GCF of Fractions for 5716/572, 6475/412 is 1/58916.