Greatest Common Factor of 172/13, 2516/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 172/13, 2516/974

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 172/13,2516/974

Given fractions are 172/13,2516/974

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 172,2516

Greatest Common Factor of Numerators i.e. GCF of 172,2516 is 4 .

LCM of Denominators means LCM of 13,974 as per the given fractions.

LCM of 13,974 is 12662 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 172,2516

GCF of Fractions 172/13,2516/974 is 4/12662

2 172, 2516
2 86, 1258
43, 629

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 172,2516 By Matching Biggest Common Factor Method

Greatest Common Factor of 172,2516 By Matching Biggest Common Factor Method

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 2516

List of positive integer factors of 2516 that divides 2516 without a remainder.

1,2,4,17,34,37,68,74,148,629,1258,2516

Greatest Common Factor

We found the factors 172,2516 . The biggest common factor number is the GCF number.
So the greatest common factor 172,2516 is 4.

Lets's calculate LCM of 13,974

Given numbers has no common factors except 1. So, there LCM is their product i.e 12662

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/12662

Therefore, the GCF of Fractions 172/13,2516/974 is 4/12662

Least Common Multiple of 13,974 with GCF Formula

Least Common Multiple of 13,974 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 13,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,974) = 1

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

GCF(13,974) x common factors =1 x 1 = 1

LCM(13,974) = ( 13 × 974 ) / 1

LCM(13,974) = 12662 / 1

LCM(13,974) = 12662


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 172/13, 2516/974

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 172/13, 2516/974?

Answer: GCF of Numerators as per given numbers 172/13, 2516/974 is

GCF of Numerators i.e. for 172,2516 is 4

LCM of denominators i.e. for 13,974 is 12662.

Thus, GCF of Fractions is 4/12662.Finally, GCF of Fractions for 172/13, 2516/974 is 4/12662.