Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 508/757,471/260,626/875
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 508,471,626
Greatest Common Factor of Numerators i.e. GCF of 508,471,626 is 1 .
LCM of Denominators means LCM of 757,260,875 as per the given fractions.
LCM of 757,260,875 is 34443500 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 508,471,626
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 508
List of positive integer factors of 508 that divides 508 without a remainder.
1,2,4,127,254,508
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Greatest Common Factor
We found the factors 508,471,626 . The biggest common factor number is the GCF number.
So the greatest common factor 508,471,626 is 1.
Lets's calculate LCM of 757,260,875
5 | 757, 260, 875 |
757, 52, 175 |
∴ So the LCM of the given numbers is 5 x 757 x 52 x 175 = 34443500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34443500
Therefore, the GCF of Fractions 508/757,471/260,626/875 is 1/34443500
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 757,260,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,260,875) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(757,260,875) x common factors =1 x 5 = 5
LCM(757,260,875) = ( 757 × 260 × 875 ) / 5
LCM(757,260,875) = 172217500 / 5
LCM(757,260,875) = 34443500
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 508/757, 471/260, 626/875?
Answer: GCF of Numerators as per given numbers 508/757, 471/260, 626/875 is
GCF of Numerators i.e. for 508,471,626 is 1
LCM of denominators i.e. for 757,260,875 is 34443500.
Thus, GCF of Fractions is 1/34443500.Finally, GCF of Fractions for 508/757, 471/260, 626/875 is 1/34443500.