Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4197/79,9482/168
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 4197,9482
Greatest Common Factor of Numerators i.e. GCF of 4197,9482 is 1 .
LCM of Denominators means LCM of 79,168 as per the given fractions.
LCM of 79,168 is 13272 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4197,9482
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4197
List of positive integer factors of 4197 that divides 4197 without a remainder.
1,3,1399,4197
Factors of 9482
List of positive integer factors of 9482 that divides 9482 without a remainder.
1,2,11,22,431,862,4741,9482
Greatest Common Factor
We found the factors 4197,9482 . The biggest common factor number is the GCF number.
So the greatest common factor 4197,9482 is 1.
Lets's calculate LCM of 79,168
Given numbers has no common factors except 1. So, there LCM is their product i.e 13272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13272
Therefore, the GCF of Fractions 4197/79,9482/168 is 1/13272
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 79,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,168) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,168) x common factors =1 x 1 = 1
LCM(79,168) = ( 79 × 168 ) / 1
LCM(79,168) = 13272 / 1
LCM(79,168) = 13272
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 4197/79, 9482/168?
Answer: GCF of Numerators as per given numbers 4197/79, 9482/168 is
GCF of Numerators i.e. for 4197,9482 is 1
LCM of denominators i.e. for 79,168 is 13272.
Thus, GCF of Fractions is 1/13272.Finally, GCF of Fractions for 4197/79, 9482/168 is 1/13272.