Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7291/271,4893/128
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 7291,4893
Greatest Common Factor of Numerators i.e. GCF of 7291,4893 is 1 .
LCM of Denominators means LCM of 271,128 as per the given fractions.
LCM of 271,128 is 34688 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7291,4893
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7291
List of positive integer factors of 7291 that divides 7291 without a remainder.
1,23,317,7291
Factors of 4893
List of positive integer factors of 4893 that divides 4893 without a remainder.
1,3,7,21,233,699,1631,4893
Greatest Common Factor
We found the factors 7291,4893 . The biggest common factor number is the GCF number.
So the greatest common factor 7291,4893 is 1.
Lets's calculate LCM of 271,128
Given numbers has no common factors except 1. So, there LCM is their product i.e 34688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34688
Therefore, the GCF of Fractions 7291/271,4893/128 is 1/34688
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 271,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,128) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,128) x common factors =1 x 1 = 1
LCM(271,128) = ( 271 × 128 ) / 1
LCM(271,128) = 34688 / 1
LCM(271,128) = 34688
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 7291/271, 4893/128?
Answer: GCF of Numerators as per given numbers 7291/271, 4893/128 is
GCF of Numerators i.e. for 7291,4893 is 1
LCM of denominators i.e. for 271,128 is 34688.
Thus, GCF of Fractions is 1/34688.Finally, GCF of Fractions for 7291/271, 4893/128 is 1/34688.