Greatest Common Factor of 2259/716, 8672/9757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2259/716, 8672/9757

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 2259/716,8672/9757

Given fractions are 2259/716,8672/9757

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 2259,8672

Greatest Common Factor of Numerators i.e. GCF of 2259,8672 is 1 .

LCM of Denominators means LCM of 716,9757 as per the given fractions.

LCM of 716,9757 is 6986012 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2259,8672

GCF of Fractions 2259/716,8672/9757 is 1/6986012

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

Greatest Common Factor of 2259,8672 By Matching Biggest Common Factor Method

Greatest Common Factor of 2259,8672 By Matching Biggest Common Factor Method

Factors of 2259

List of positive integer factors of 2259 that divides 2259 without a remainder.

1,3,9,251,753,2259

Factors of 8672

List of positive integer factors of 8672 that divides 8672 without a remainder.

1,2,4,8,16,32,271,542,1084,2168,4336,8672

Greatest Common Factor

We found the factors 2259,8672 . The biggest common factor number is the GCF number.
So the greatest common factor 2259,8672 is 1.

Lets's calculate LCM of 716,9757

Given numbers has no common factors except 1. So, there LCM is their product i.e 6986012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6986012

Therefore, the GCF of Fractions 2259/716,8672/9757 is 1/6986012

Least Common Multiple of 716,9757 with GCF Formula

Least Common Multiple of 716,9757 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 716,9757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,9757) = 1

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

GCF(716,9757) x common factors =1 x 1 = 1

LCM(716,9757) = ( 716 × 9757 ) / 1

LCM(716,9757) = 6986012 / 1

LCM(716,9757) = 6986012


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 2259/716, 8672/9757

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 2259/716, 8672/9757?

Answer: GCF of Numerators as per given numbers 2259/716, 8672/9757 is

GCF of Numerators i.e. for 2259,8672 is 1

LCM of denominators i.e. for 716,9757 is 6986012.

Thus, GCF of Fractions is 1/6986012.Finally, GCF of Fractions for 2259/716, 8672/9757 is 1/6986012.