Greatest Common Factor of 9172/98, 4689/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9172/98, 4689/672

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 9172/98,4689/672

Given fractions are 9172/98,4689/672

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 9172,4689

Greatest Common Factor of Numerators i.e. GCF of 9172,4689 is 1 .

LCM of Denominators means LCM of 98,672 as per the given fractions.

LCM of 98,672 is 4704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9172,4689

GCF of Fractions 9172/98,4689/672 is 1/4704

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

Greatest Common Factor of 9172,4689 By Matching Biggest Common Factor Method

Greatest Common Factor of 9172,4689 By Matching Biggest Common Factor Method

Factors of 9172

List of positive integer factors of 9172 that divides 9172 without a remainder.

1,2,4,2293,4586,9172

Factors of 4689

List of positive integer factors of 4689 that divides 4689 without a remainder.

1,3,9,521,1563,4689

Greatest Common Factor

We found the factors 9172,4689 . The biggest common factor number is the GCF number.
So the greatest common factor 9172,4689 is 1.

Lets's calculate LCM of 98,672

2 98, 672
7 49, 336
7, 48

∴ So the LCM of the given numbers is 2 x 7 x 7 x 48 = 4704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4704

Therefore, the GCF of Fractions 9172/98,4689/672 is 1/4704

Least Common Multiple of 98,672 with GCF Formula

Least Common Multiple of 98,672 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 98,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,672) = 14

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

GCF(98,672) x common factors =14 x 1 = 14

LCM(98,672) = ( 98 × 672 ) / 14

LCM(98,672) = 65856 / 14

LCM(98,672) = 4704


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 9172/98, 4689/672

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 9172/98, 4689/672?

Answer: GCF of Numerators as per given numbers 9172/98, 4689/672 is

GCF of Numerators i.e. for 9172,4689 is 1

LCM of denominators i.e. for 98,672 is 4704.

Thus, GCF of Fractions is 1/4704.Finally, GCF of Fractions for 9172/98, 4689/672 is 1/4704.