Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4124/847,2551/591
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 4124,2551
Greatest Common Factor of Numerators i.e. GCF of 4124,2551 is 1 .
LCM of Denominators means LCM of 847,591 as per the given fractions.
LCM of 847,591 is 500577 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4124,2551
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4124
List of positive integer factors of 4124 that divides 4124 without a remainder.
1,2,4,1031,2062,4124
Factors of 2551
List of positive integer factors of 2551 that divides 2551 without a remainder.
1,2551
Greatest Common Factor
We found the factors 4124,2551 . The biggest common factor number is the GCF number.
So the greatest common factor 4124,2551 is 1.
Lets's calculate LCM of 847,591
Given numbers has no common factors except 1. So, there LCM is their product i.e 500577
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/500577
Therefore, the GCF of Fractions 4124/847,2551/591 is 1/500577
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 847,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,591) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,591) x common factors =1 x 1 = 1
LCM(847,591) = ( 847 × 591 ) / 1
LCM(847,591) = 500577 / 1
LCM(847,591) = 500577
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 4124/847, 2551/591?
Answer: GCF of Numerators as per given numbers 4124/847, 2551/591 is
GCF of Numerators i.e. for 4124,2551 is 1
LCM of denominators i.e. for 847,591 is 500577.
Thus, GCF of Fractions is 1/500577.Finally, GCF of Fractions for 4124/847, 2551/591 is 1/500577.