Greatest Common Factor of 940/11, 7546/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 940/11, 7546/352

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 940/11,7546/352

Given fractions are 940/11,7546/352

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 940,7546

Greatest Common Factor of Numerators i.e. GCF of 940,7546 is 2 .

LCM of Denominators means LCM of 11,352 as per the given fractions.

LCM of 11,352 is 352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 940,7546

GCF of Fractions 940/11,7546/352 is 2/352

2 940, 7546
470, 3773

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

Greatest Common Factor of 940,7546 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,7546 By Matching Biggest Common Factor Method

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 7546

List of positive integer factors of 7546 that divides 7546 without a remainder.

1,2,7,11,14,22,49,77,98,154,343,539,686,1078,3773,7546

Greatest Common Factor

We found the factors 940,7546 . The biggest common factor number is the GCF number.
So the greatest common factor 940,7546 is 2.


Lets's calculate LCM of 11,352

11 11, 352
1, 32

∴ So the LCM of the given numbers is 11 x 1 x 32 = 352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/352

Therefore, the GCF of Fractions 940/11,7546/352 is 2/352

Least Common Multiple of 11,352 with GCF Formula

Least Common Multiple of 11,352 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 11,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,352) = 11

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

GCF(11,352) x common factors =11 x 1 = 11

LCM(11,352) = ( 11 × 352 ) / 11

LCM(11,352) = 3872 / 11

LCM(11,352) = 352


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 940/11, 7546/352

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 940/11, 7546/352?

Answer: GCF of Numerators as per given numbers 940/11, 7546/352 is

GCF of Numerators i.e. for 940,7546 is 2

LCM of denominators i.e. for 11,352 is 352.

Thus, GCF of Fractions is 2/352.Finally, GCF of Fractions for 940/11, 7546/352 is 2/352.