Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8887/572,7182/4366
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 8887,7182
Greatest Common Factor of Numerators i.e. GCF of 8887,7182 is 1 .
LCM of Denominators means LCM of 572,4366 as per the given fractions.
LCM of 572,4366 is 1248676 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8887,7182
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8887
List of positive integer factors of 8887 that divides 8887 without a remainder.
1,8887
Factors of 7182
List of positive integer factors of 7182 that divides 7182 without a remainder.
1,2,3,6,7,9,14,18,19,21,27,38,42,54,57,63,114,126,133,171,189,266,342,378,399,513,798,1026,1197,2394,3591,7182
Greatest Common Factor
We found the factors 8887,7182 . The biggest common factor number is the GCF number.
So the greatest common factor 8887,7182 is 1.
Lets's calculate LCM of 572,4366
2 | 572, 4366 |
286, 2183 |
∴ So the LCM of the given numbers is 2 x 286 x 2183 = 1248676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1248676
Therefore, the GCF of Fractions 8887/572,7182/4366 is 1/1248676
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 572,4366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,4366) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(572,4366) x common factors =2 x 1 = 2
LCM(572,4366) = ( 572 × 4366 ) / 2
LCM(572,4366) = 2497352 / 2
LCM(572,4366) = 1248676
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 8887/572, 7182/4366?
Answer: GCF of Numerators as per given numbers 8887/572, 7182/4366 is
GCF of Numerators i.e. for 8887,7182 is 1
LCM of denominators i.e. for 572,4366 is 1248676.
Thus, GCF of Fractions is 1/1248676.Finally, GCF of Fractions for 8887/572, 7182/4366 is 1/1248676.