Greatest Common Factor of 2611/736, 2957/8332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2611/736, 2957/8332

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 2611/736,2957/8332

Given fractions are 2611/736,2957/8332

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 2611,2957

Greatest Common Factor of Numerators i.e. GCF of 2611,2957 is 1 .

LCM of Denominators means LCM of 736,8332 as per the given fractions.

LCM of 736,8332 is 1533088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2611,2957

GCF of Fractions 2611/736,2957/8332 is 1/1533088

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

Greatest Common Factor of 2611,2957 By Matching Biggest Common Factor Method

Greatest Common Factor of 2611,2957 By Matching Biggest Common Factor Method

Factors of 2611

List of positive integer factors of 2611 that divides 2611 without a remainder.

1,7,373,2611

Factors of 2957

List of positive integer factors of 2957 that divides 2957 without a remainder.

1,2957

Greatest Common Factor

We found the factors 2611,2957 . The biggest common factor number is the GCF number.
So the greatest common factor 2611,2957 is 1.

Lets's calculate LCM of 736,8332

2 736, 8332
2 368, 4166
184, 2083

∴ So the LCM of the given numbers is 2 x 2 x 184 x 2083 = 1533088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1533088

Therefore, the GCF of Fractions 2611/736,2957/8332 is 1/1533088

Least Common Multiple of 736,8332 with GCF Formula

Least Common Multiple of 736,8332 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 736,8332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,8332) = 4

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

GCF(736,8332) x common factors =4 x 1 = 4

LCM(736,8332) = ( 736 × 8332 ) / 4

LCM(736,8332) = 6132352 / 4

LCM(736,8332) = 1533088


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 2611/736, 2957/8332

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 2611/736, 2957/8332?

Answer: GCF of Numerators as per given numbers 2611/736, 2957/8332 is

GCF of Numerators i.e. for 2611,2957 is 1

LCM of denominators i.e. for 736,8332 is 1533088.

Thus, GCF of Fractions is 1/1533088.Finally, GCF of Fractions for 2611/736, 2957/8332 is 1/1533088.