Greatest Common Factor of 7455/72, 9724/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7455/72, 9724/772

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 7455/72,9724/772

Given fractions are 7455/72,9724/772

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 7455,9724

Greatest Common Factor of Numerators i.e. GCF of 7455,9724 is 1 .

LCM of Denominators means LCM of 72,772 as per the given fractions.

LCM of 72,772 is 13896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7455,9724

GCF of Fractions 7455/72,9724/772 is 1/13896

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

Greatest Common Factor of 7455,9724 By Matching Biggest Common Factor Method

Greatest Common Factor of 7455,9724 By Matching Biggest Common Factor Method

Factors of 7455

List of positive integer factors of 7455 that divides 7455 without a remainder.

1,3,5,7,15,21,35,71,105,213,355,497,1065,1491,2485,7455

Factors of 9724

List of positive integer factors of 9724 that divides 9724 without a remainder.

1,2,4,11,13,17,22,26,34,44,52,68,143,187,221,286,374,442,572,748,884,2431,4862,9724

Greatest Common Factor

We found the factors 7455,9724 . The biggest common factor number is the GCF number.
So the greatest common factor 7455,9724 is 1.

Lets's calculate LCM of 72,772

2 72, 772
2 36, 386
18, 193

∴ So the LCM of the given numbers is 2 x 2 x 18 x 193 = 13896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13896

Therefore, the GCF of Fractions 7455/72,9724/772 is 1/13896

Least Common Multiple of 72,772 with GCF Formula

Least Common Multiple of 72,772 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 72,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,772) = 4

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

GCF(72,772) x common factors =4 x 1 = 4

LCM(72,772) = ( 72 × 772 ) / 4

LCM(72,772) = 55584 / 4

LCM(72,772) = 13896


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 7455/72, 9724/772

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 7455/72, 9724/772?

Answer: GCF of Numerators as per given numbers 7455/72, 9724/772 is

GCF of Numerators i.e. for 7455,9724 is 1

LCM of denominators i.e. for 72,772 is 13896.

Thus, GCF of Fractions is 1/13896.Finally, GCF of Fractions for 7455/72, 9724/772 is 1/13896.