Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8517/85,5336/547
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 8517,5336
Greatest Common Factor of Numerators i.e. GCF of 8517,5336 is 1 .
LCM of Denominators means LCM of 85,547 as per the given fractions.
LCM of 85,547 is 46495 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8517,5336
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8517
List of positive integer factors of 8517 that divides 8517 without a remainder.
1,3,17,51,167,501,2839,8517
Factors of 5336
List of positive integer factors of 5336 that divides 5336 without a remainder.
1,2,4,8,23,29,46,58,92,116,184,232,667,1334,2668,5336
Greatest Common Factor
We found the factors 8517,5336 . The biggest common factor number is the GCF number.
So the greatest common factor 8517,5336 is 1.
Lets's calculate LCM of 85,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 46495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46495
Therefore, the GCF of Fractions 8517/85,5336/547 is 1/46495
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 85,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,547) x common factors =1 x 1 = 1
LCM(85,547) = ( 85 × 547 ) / 1
LCM(85,547) = 46495 / 1
LCM(85,547) = 46495
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 8517/85, 5336/547?
Answer: GCF of Numerators as per given numbers 8517/85, 5336/547 is
GCF of Numerators i.e. for 8517,5336 is 1
LCM of denominators i.e. for 85,547 is 46495.
Thus, GCF of Fractions is 1/46495.Finally, GCF of Fractions for 8517/85, 5336/547 is 1/46495.