Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5129/44,5636/877
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 5129,5636
Greatest Common Factor of Numerators i.e. GCF of 5129,5636 is 1 .
LCM of Denominators means LCM of 44,877 as per the given fractions.
LCM of 44,877 is 38588 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5129,5636
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5129
List of positive integer factors of 5129 that divides 5129 without a remainder.
1,23,223,5129
Factors of 5636
List of positive integer factors of 5636 that divides 5636 without a remainder.
1,2,4,1409,2818,5636
Greatest Common Factor
We found the factors 5129,5636 . The biggest common factor number is the GCF number.
So the greatest common factor 5129,5636 is 1.
Lets's calculate LCM of 44,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 38588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38588
Therefore, the GCF of Fractions 5129/44,5636/877 is 1/38588
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 44,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,877) x common factors =1 x 1 = 1
LCM(44,877) = ( 44 × 877 ) / 1
LCM(44,877) = 38588 / 1
LCM(44,877) = 38588
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 5129/44, 5636/877?
Answer: GCF of Numerators as per given numbers 5129/44, 5636/877 is
GCF of Numerators i.e. for 5129,5636 is 1
LCM of denominators i.e. for 44,877 is 38588.
Thus, GCF of Fractions is 1/38588.Finally, GCF of Fractions for 5129/44, 5636/877 is 1/38588.