Greatest Common Factor of 9792/344, 7562/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9792/344, 7562/617

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 9792/344,7562/617

Given fractions are 9792/344,7562/617

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 9792,7562

Greatest Common Factor of Numerators i.e. GCF of 9792,7562 is 2 .

LCM of Denominators means LCM of 344,617 as per the given fractions.

LCM of 344,617 is 212248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9792,7562

GCF of Fractions 9792/344,7562/617 is 2/212248

2 9792, 7562
4896, 3781

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

Greatest Common Factor of 9792,7562 By Matching Biggest Common Factor Method

Greatest Common Factor of 9792,7562 By Matching Biggest Common Factor Method

Factors of 9792

List of positive integer factors of 9792 that divides 9792 without a remainder.

1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,64,68,72,96,102,136,144,153,192,204,272,288,306,408,544,576,612,816,1088,1224,1632,2448,3264,4896,9792

Factors of 7562

List of positive integer factors of 7562 that divides 7562 without a remainder.

1,2,19,38,199,398,3781,7562

Greatest Common Factor

We found the factors 9792,7562 . The biggest common factor number is the GCF number.
So the greatest common factor 9792,7562 is 2.

Lets's calculate LCM of 344,617

Given numbers has no common factors except 1. So, there LCM is their product i.e 212248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/212248

Therefore, the GCF of Fractions 9792/344,7562/617 is 2/212248

Least Common Multiple of 344,617 with GCF Formula

Least Common Multiple of 344,617 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 344,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,617) = 1

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

GCF(344,617) x common factors =1 x 1 = 1

LCM(344,617) = ( 344 × 617 ) / 1

LCM(344,617) = 212248 / 1

LCM(344,617) = 212248


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 9792/344, 7562/617

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 9792/344, 7562/617?

Answer: GCF of Numerators as per given numbers 9792/344, 7562/617 is

GCF of Numerators i.e. for 9792,7562 is 2

LCM of denominators i.e. for 344,617 is 212248.

Thus, GCF of Fractions is 2/212248.Finally, GCF of Fractions for 9792/344, 7562/617 is 2/212248.