Greatest Common Factor of 7572/967, 2843/9721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7572/967, 2843/9721

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 7572/967,2843/9721

Given fractions are 7572/967,2843/9721

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 7572,2843

Greatest Common Factor of Numerators i.e. GCF of 7572,2843 is 1 .

LCM of Denominators means LCM of 967,9721 as per the given fractions.

LCM of 967,9721 is 9400207 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7572,2843

GCF of Fractions 7572/967,2843/9721 is 1/9400207

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

Greatest Common Factor of 7572,2843 By Matching Biggest Common Factor Method

Greatest Common Factor of 7572,2843 By Matching Biggest Common Factor Method

Factors of 7572

List of positive integer factors of 7572 that divides 7572 without a remainder.

1,2,3,4,6,12,631,1262,1893,2524,3786,7572

Factors of 2843

List of positive integer factors of 2843 that divides 2843 without a remainder.

1,2843

Greatest Common Factor

We found the factors 7572,2843 . The biggest common factor number is the GCF number.
So the greatest common factor 7572,2843 is 1.

Lets's calculate LCM of 967,9721

Given numbers has no common factors except 1. So, there LCM is their product i.e 9400207

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9400207

Therefore, the GCF of Fractions 7572/967,2843/9721 is 1/9400207

Least Common Multiple of 967,9721 with GCF Formula

Least Common Multiple of 967,9721 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 967,9721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,9721) = 1

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

GCF(967,9721) x common factors =1 x 1 = 1

LCM(967,9721) = ( 967 × 9721 ) / 1

LCM(967,9721) = 9400207 / 1

LCM(967,9721) = 9400207


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 7572/967, 2843/9721

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 7572/967, 2843/9721?

Answer: GCF of Numerators as per given numbers 7572/967, 2843/9721 is

GCF of Numerators i.e. for 7572,2843 is 1

LCM of denominators i.e. for 967,9721 is 9400207.

Thus, GCF of Fractions is 1/9400207.Finally, GCF of Fractions for 7572/967, 2843/9721 is 1/9400207.