Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 634/399,502/478,638/812
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 634,502,638
Greatest Common Factor of Numerators i.e. GCF of 634,502,638 is 2 .
LCM of Denominators means LCM of 399,478,812 as per the given fractions.
LCM of 399,478,812 is 11061876 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 634,502,638
2 | 634, 502, 638 |
317, 251, 319 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors 634,502,638 . The biggest common factor number is the GCF number.
So the greatest common factor 634,502,638 is 2.
Lets's calculate LCM of 399,478,812
2 | 399, 478, 812 |
7 | 399, 239, 406 |
57, 239, 58 |
∴ So the LCM of the given numbers is 2 x 7 x 57 x 239 x 58 = 11061876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11061876
Therefore, the GCF of Fractions 634/399,502/478,638/812 is 2/11061876
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 399,478,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,478,812) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(399,478,812) x common factors =1 x 14 = 14
LCM(399,478,812) = ( 399 × 478 × 812 ) / 14
LCM(399,478,812) = 154866264 / 14
LCM(399,478,812) = 11061876
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 634/399, 502/478, 638/812?
Answer: GCF of Numerators as per given numbers 634/399, 502/478, 638/812 is
GCF of Numerators i.e. for 634,502,638 is 2
LCM of denominators i.e. for 399,478,812 is 11061876.
Thus, GCF of Fractions is 2/11061876.Finally, GCF of Fractions for 634/399, 502/478, 638/812 is 2/11061876.