Greatest Common Factor of 1217/43, 5137/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1217/43, 5137/972

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 1217/43,5137/972

Given fractions are 1217/43,5137/972

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 1217,5137

Greatest Common Factor of Numerators i.e. GCF of 1217,5137 is 1 .

LCM of Denominators means LCM of 43,972 as per the given fractions.

LCM of 43,972 is 41796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1217,5137

GCF of Fractions 1217/43,5137/972 is 1/41796

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1217,5137 By Matching Biggest Common Factor Method

Greatest Common Factor of 1217,5137 By Matching Biggest Common Factor Method

Factors of 1217

List of positive integer factors of 1217 that divides 1217 without a remainder.

1,1217

Factors of 5137

List of positive integer factors of 5137 that divides 5137 without a remainder.

1,11,467,5137

Greatest Common Factor

We found the factors 1217,5137 . The biggest common factor number is the GCF number.
So the greatest common factor 1217,5137 is 1.

Lets's calculate LCM of 43,972

Given numbers has no common factors except 1. So, there LCM is their product i.e 41796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41796

Therefore, the GCF of Fractions 1217/43,5137/972 is 1/41796

Least Common Multiple of 43,972 with GCF Formula

Least Common Multiple of 43,972 with GCF Formula

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 43,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,972) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(43,972) x common factors =1 x 1 = 1

LCM(43,972) = ( 43 × 972 ) / 1

LCM(43,972) = 41796 / 1

LCM(43,972) = 41796


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1217/43, 5137/972

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 1217/43, 5137/972?

Answer: GCF of Numerators as per given numbers 1217/43, 5137/972 is

GCF of Numerators i.e. for 1217,5137 is 1

LCM of denominators i.e. for 43,972 is 41796.

Thus, GCF of Fractions is 1/41796.Finally, GCF of Fractions for 1217/43, 5137/972 is 1/41796.