Greatest Common Factor of 2851/736, 7493/1432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2851/736, 7493/1432

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 2851/736,7493/1432

Given fractions are 2851/736,7493/1432

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 2851,7493

Greatest Common Factor of Numerators i.e. GCF of 2851,7493 is 1 .

LCM of Denominators means LCM of 736,1432 as per the given fractions.

LCM of 736,1432 is 131744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2851,7493

GCF of Fractions 2851/736,7493/1432 is 1/131744

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

Greatest Common Factor of 2851,7493 By Matching Biggest Common Factor Method

Greatest Common Factor of 2851,7493 By Matching Biggest Common Factor Method

Factors of 2851

List of positive integer factors of 2851 that divides 2851 without a remainder.

1,2851

Factors of 7493

List of positive integer factors of 7493 that divides 7493 without a remainder.

1,59,127,7493

Greatest Common Factor

We found the factors 2851,7493 . The biggest common factor number is the GCF number.
So the greatest common factor 2851,7493 is 1.

Lets's calculate LCM of 736,1432

2 736, 1432
2 368, 716
2 184, 358
92, 179

∴ So the LCM of the given numbers is 2 x 2 x 2 x 92 x 179 = 131744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131744

Therefore, the GCF of Fractions 2851/736,7493/1432 is 1/131744

Least Common Multiple of 736,1432 with GCF Formula

Least Common Multiple of 736,1432 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 736,1432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,1432) = 8

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

GCF(736,1432) x common factors =8 x 1 = 8

LCM(736,1432) = ( 736 × 1432 ) / 8

LCM(736,1432) = 1053952 / 8

LCM(736,1432) = 131744


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 2851/736, 7493/1432

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 2851/736, 7493/1432?

Answer: GCF of Numerators as per given numbers 2851/736, 7493/1432 is

GCF of Numerators i.e. for 2851,7493 is 1

LCM of denominators i.e. for 736,1432 is 131744.

Thus, GCF of Fractions is 1/131744.Finally, GCF of Fractions for 2851/736, 7493/1432 is 1/131744.