Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5477/337,3650/424
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 5477,3650
Greatest Common Factor of Numerators i.e. GCF of 5477,3650 is 1 .
LCM of Denominators means LCM of 337,424 as per the given fractions.
LCM of 337,424 is 142888 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5477,3650
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5477
List of positive integer factors of 5477 that divides 5477 without a remainder.
1,5477
Factors of 3650
List of positive integer factors of 3650 that divides 3650 without a remainder.
1,2,5,10,25,50,73,146,365,730,1825,3650
Greatest Common Factor
We found the factors 5477,3650 . The biggest common factor number is the GCF number.
So the greatest common factor 5477,3650 is 1.
Lets's calculate LCM of 337,424
Given numbers has no common factors except 1. So, there LCM is their product i.e 142888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142888
Therefore, the GCF of Fractions 5477/337,3650/424 is 1/142888
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 337,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,424) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,424) x common factors =1 x 1 = 1
LCM(337,424) = ( 337 × 424 ) / 1
LCM(337,424) = 142888 / 1
LCM(337,424) = 142888
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 5477/337, 3650/424?
Answer: GCF of Numerators as per given numbers 5477/337, 3650/424 is
GCF of Numerators i.e. for 5477,3650 is 1
LCM of denominators i.e. for 337,424 is 142888.
Thus, GCF of Fractions is 1/142888.Finally, GCF of Fractions for 5477/337, 3650/424 is 1/142888.