Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5170/191,6749/131
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 5170,6749
Greatest Common Factor of Numerators i.e. GCF of 5170,6749 is 1 .
LCM of Denominators means LCM of 191,131 as per the given fractions.
LCM of 191,131 is 25021 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5170,6749
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5170
List of positive integer factors of 5170 that divides 5170 without a remainder.
1,2,5,10,11,22,47,55,94,110,235,470,517,1034,2585,5170
Factors of 6749
List of positive integer factors of 6749 that divides 6749 without a remainder.
1,17,397,6749
Greatest Common Factor
We found the factors 5170,6749 . The biggest common factor number is the GCF number.
So the greatest common factor 5170,6749 is 1.
Lets's calculate LCM of 191,131
Given numbers has no common factors except 1. So, there LCM is their product i.e 25021
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25021
Therefore, the GCF of Fractions 5170/191,6749/131 is 1/25021
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 191,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,131) x common factors =1 x 1 = 1
LCM(191,131) = ( 191 × 131 ) / 1
LCM(191,131) = 25021 / 1
LCM(191,131) = 25021
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 5170/191, 6749/131?
Answer: GCF of Numerators as per given numbers 5170/191, 6749/131 is
GCF of Numerators i.e. for 5170,6749 is 1
LCM of denominators i.e. for 191,131 is 25021.
Thus, GCF of Fractions is 1/25021.Finally, GCF of Fractions for 5170/191, 6749/131 is 1/25021.