Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5107/638,5729/8617
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 5107,5729
Greatest Common Factor of Numerators i.e. GCF of 5107,5729 is 1 .
LCM of Denominators means LCM of 638,8617 as per the given fractions.
LCM of 638,8617 is 5497646 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5107,5729
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5107
List of positive integer factors of 5107 that divides 5107 without a remainder.
1,5107
Factors of 5729
List of positive integer factors of 5729 that divides 5729 without a remainder.
1,17,337,5729
Greatest Common Factor
We found the factors 5107,5729 . The biggest common factor number is the GCF number.
So the greatest common factor 5107,5729 is 1.
Lets's calculate LCM of 638,8617
Given numbers has no common factors except 1. So, there LCM is their product i.e 5497646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5497646
Therefore, the GCF of Fractions 5107/638,5729/8617 is 1/5497646
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 638,8617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,8617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,8617) x common factors =1 x 1 = 1
LCM(638,8617) = ( 638 × 8617 ) / 1
LCM(638,8617) = 5497646 / 1
LCM(638,8617) = 5497646
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 5107/638, 5729/8617?
Answer: GCF of Numerators as per given numbers 5107/638, 5729/8617 is
GCF of Numerators i.e. for 5107,5729 is 1
LCM of denominators i.e. for 638,8617 is 5497646.
Thus, GCF of Fractions is 1/5497646.Finally, GCF of Fractions for 5107/638, 5729/8617 is 1/5497646.