Greatest Common Factor of 7969/96, 2344/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7969/96, 2344/552

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 7969/96,2344/552

Given fractions are 7969/96,2344/552

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 7969,2344

Greatest Common Factor of Numerators i.e. GCF of 7969,2344 is 1 .

LCM of Denominators means LCM of 96,552 as per the given fractions.

LCM of 96,552 is 2208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7969,2344

GCF of Fractions 7969/96,2344/552 is 1/2208

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

Greatest Common Factor of 7969,2344 By Matching Biggest Common Factor Method

Greatest Common Factor of 7969,2344 By Matching Biggest Common Factor Method

Factors of 7969

List of positive integer factors of 7969 that divides 7969 without a remainder.

1,13,613,7969

Factors of 2344

List of positive integer factors of 2344 that divides 2344 without a remainder.

1,2,4,8,293,586,1172,2344

Greatest Common Factor

We found the factors 7969,2344 . The biggest common factor number is the GCF number.
So the greatest common factor 7969,2344 is 1.

Lets's calculate LCM of 96,552

2 96, 552
2 48, 276
2 24, 138
3 12, 69
4, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 4 x 23 = 2208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2208

Therefore, the GCF of Fractions 7969/96,2344/552 is 1/2208

Least Common Multiple of 96,552 with GCF Formula

Least Common Multiple of 96,552 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 96,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,552) = 24

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

GCF(96,552) x common factors =24 x 1 = 24

LCM(96,552) = ( 96 × 552 ) / 24

LCM(96,552) = 52992 / 24

LCM(96,552) = 2208


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 7969/96, 2344/552

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 7969/96, 2344/552?

Answer: GCF of Numerators as per given numbers 7969/96, 2344/552 is

GCF of Numerators i.e. for 7969,2344 is 1

LCM of denominators i.e. for 96,552 is 2208.

Thus, GCF of Fractions is 1/2208.Finally, GCF of Fractions for 7969/96, 2344/552 is 1/2208.