Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5237/739,6377/4692
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 5237,6377
Greatest Common Factor of Numerators i.e. GCF of 5237,6377 is 1 .
LCM of Denominators means LCM of 739,4692 as per the given fractions.
LCM of 739,4692 is 3467388 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5237,6377
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5237
List of positive integer factors of 5237 that divides 5237 without a remainder.
1,5237
Factors of 6377
List of positive integer factors of 6377 that divides 6377 without a remainder.
1,7,911,6377
Greatest Common Factor
We found the factors 5237,6377 . The biggest common factor number is the GCF number.
So the greatest common factor 5237,6377 is 1.
Lets's calculate LCM of 739,4692
Given numbers has no common factors except 1. So, there LCM is their product i.e 3467388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3467388
Therefore, the GCF of Fractions 5237/739,6377/4692 is 1/3467388
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 739,4692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,4692) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,4692) x common factors =1 x 1 = 1
LCM(739,4692) = ( 739 × 4692 ) / 1
LCM(739,4692) = 3467388 / 1
LCM(739,4692) = 3467388
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 5237/739, 6377/4692?
Answer: GCF of Numerators as per given numbers 5237/739, 6377/4692 is
GCF of Numerators i.e. for 5237,6377 is 1
LCM of denominators i.e. for 739,4692 is 3467388.
Thus, GCF of Fractions is 1/3467388.Finally, GCF of Fractions for 5237/739, 6377/4692 is 1/3467388.