Greatest Common Factor of 5107/166, 9438/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5107/166, 9438/617

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 5107/166,9438/617

Given fractions are 5107/166,9438/617

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 5107,9438

Greatest Common Factor of Numerators i.e. GCF of 5107,9438 is 1 .

LCM of Denominators means LCM of 166,617 as per the given fractions.

LCM of 166,617 is 102422 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5107,9438

GCF of Fractions 5107/166,9438/617 is 1/102422

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

Greatest Common Factor of 5107,9438 By Matching Biggest Common Factor Method

Greatest Common Factor of 5107,9438 By Matching Biggest Common Factor Method

Factors of 5107

List of positive integer factors of 5107 that divides 5107 without a remainder.

1,5107

Factors of 9438

List of positive integer factors of 9438 that divides 9438 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,121,143,242,286,363,429,726,858,1573,3146,4719,9438

Greatest Common Factor

We found the factors 5107,9438 . The biggest common factor number is the GCF number.
So the greatest common factor 5107,9438 is 1.

Lets's calculate LCM of 166,617

Given numbers has no common factors except 1. So, there LCM is their product i.e 102422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102422

Therefore, the GCF of Fractions 5107/166,9438/617 is 1/102422

Least Common Multiple of 166,617 with GCF Formula

Least Common Multiple of 166,617 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 166,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(166,617) = 1

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

GCF(166,617) x common factors =1 x 1 = 1

LCM(166,617) = ( 166 × 617 ) / 1

LCM(166,617) = 102422 / 1

LCM(166,617) = 102422


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 5107/166, 9438/617

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 5107/166, 9438/617?

Answer: GCF of Numerators as per given numbers 5107/166, 9438/617 is

GCF of Numerators i.e. for 5107,9438 is 1

LCM of denominators i.e. for 166,617 is 102422.

Thus, GCF of Fractions is 1/102422.Finally, GCF of Fractions for 5107/166, 9438/617 is 1/102422.