Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 512/718,1624/756
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 512,1624
Greatest Common Factor of Numerators i.e. GCF of 512,1624 is 8 .
LCM of Denominators means LCM of 718,756 as per the given fractions.
LCM of 718,756 is 271404 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 512,1624
2 | 512, 1624 |
2 | 256, 812 |
2 | 128, 406 |
64, 203 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 512
List of positive integer factors of 512 that divides 512 without a remainder.
1,2,4,8,16,32,64,128,256,512
Factors of 1624
List of positive integer factors of 1624 that divides 1624 without a remainder.
1,2,4,7,8,14,28,29,56,58,116,203,232,406,812,1624
Greatest Common Factor
We found the factors 512,1624 . The biggest common factor number is the GCF number.
So the greatest common factor 512,1624 is 8.
Lets's calculate LCM of 718,756
2 | 718, 756 |
359, 378 |
∴ So the LCM of the given numbers is 2 x 359 x 378 = 271404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/271404
Therefore, the GCF of Fractions 512/718,1624/756 is 8/271404
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 718,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,756) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(718,756) x common factors =2 x 1 = 2
LCM(718,756) = ( 718 × 756 ) / 2
LCM(718,756) = 542808 / 2
LCM(718,756) = 271404
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 512/718, 1624/756?
Answer: GCF of Numerators as per given numbers 512/718, 1624/756 is
GCF of Numerators i.e. for 512,1624 is 8
LCM of denominators i.e. for 718,756 is 271404.
Thus, GCF of Fractions is 8/271404.Finally, GCF of Fractions for 512/718, 1624/756 is 8/271404.