Greatest Common Factor of 2756/162, 9140/5997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2756/162, 9140/5997

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 2756/162,9140/5997

Given fractions are 2756/162,9140/5997

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 2756,9140

Greatest Common Factor of Numerators i.e. GCF of 2756,9140 is 4 .

LCM of Denominators means LCM of 162,5997 as per the given fractions.

LCM of 162,5997 is 323838 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2756,9140

GCF of Fractions 2756/162,9140/5997 is 4/323838

2 2756, 9140
2 1378, 4570
689, 2285

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2756,9140 By Matching Biggest Common Factor Method

Greatest Common Factor of 2756,9140 By Matching Biggest Common Factor Method

Factors of 2756

List of positive integer factors of 2756 that divides 2756 without a remainder.

1,2,4,13,26,52,53,106,212,689,1378,2756

Factors of 9140

List of positive integer factors of 9140 that divides 9140 without a remainder.

1,2,4,5,10,20,457,914,1828,2285,4570,9140

Greatest Common Factor

We found the factors 2756,9140 . The biggest common factor number is the GCF number.
So the greatest common factor 2756,9140 is 4.

Lets's calculate LCM of 162,5997

3 162, 5997
54, 1999

∴ So the LCM of the given numbers is 3 x 54 x 1999 = 323838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/323838

Therefore, the GCF of Fractions 2756/162,9140/5997 is 4/323838

Least Common Multiple of 162,5997 with GCF Formula

Least Common Multiple of 162,5997 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 162,5997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,5997) = 3

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

GCF(162,5997) x common factors =3 x 1 = 3

LCM(162,5997) = ( 162 × 5997 ) / 3

LCM(162,5997) = 971514 / 3

LCM(162,5997) = 323838


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 2756/162, 9140/5997

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 2756/162, 9140/5997?

Answer: GCF of Numerators as per given numbers 2756/162, 9140/5997 is

GCF of Numerators i.e. for 2756,9140 is 4

LCM of denominators i.e. for 162,5997 is 323838.

Thus, GCF of Fractions is 4/323838.Finally, GCF of Fractions for 2756/162, 9140/5997 is 4/323838.