Greatest Common Factor of 2773/840, 9532/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2773/840, 9532/748

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 2773/840,9532/748

Given fractions are 2773/840,9532/748

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 2773,9532

Greatest Common Factor of Numerators i.e. GCF of 2773,9532 is 1 .

LCM of Denominators means LCM of 840,748 as per the given fractions.

LCM of 840,748 is 157080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2773,9532

GCF of Fractions 2773/840,9532/748 is 1/157080

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

Greatest Common Factor of 2773,9532 By Matching Biggest Common Factor Method

Greatest Common Factor of 2773,9532 By Matching Biggest Common Factor Method

Factors of 2773

List of positive integer factors of 2773 that divides 2773 without a remainder.

1,47,59,2773

Factors of 9532

List of positive integer factors of 9532 that divides 9532 without a remainder.

1,2,4,2383,4766,9532

Greatest Common Factor

We found the factors 2773,9532 . The biggest common factor number is the GCF number.
So the greatest common factor 2773,9532 is 1.

Lets's calculate LCM of 840,748

2 840, 748
2 420, 374
210, 187

∴ So the LCM of the given numbers is 2 x 2 x 210 x 187 = 157080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157080

Therefore, the GCF of Fractions 2773/840,9532/748 is 1/157080

Least Common Multiple of 840,748 with GCF Formula

Least Common Multiple of 840,748 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 840,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,748) = 4

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

GCF(840,748) x common factors =4 x 1 = 4

LCM(840,748) = ( 840 × 748 ) / 4

LCM(840,748) = 628320 / 4

LCM(840,748) = 157080


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 2773/840, 9532/748

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 2773/840, 9532/748?

Answer: GCF of Numerators as per given numbers 2773/840, 9532/748 is

GCF of Numerators i.e. for 2773,9532 is 1

LCM of denominators i.e. for 840,748 is 157080.

Thus, GCF of Fractions is 1/157080.Finally, GCF of Fractions for 2773/840, 9532/748 is 1/157080.