Greatest Common Factor of 1745/738, 2931/6494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1745/738, 2931/6494

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 1745/738,2931/6494

Given fractions are 1745/738,2931/6494

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 1745,2931

Greatest Common Factor of Numerators i.e. GCF of 1745,2931 is 1 .

LCM of Denominators means LCM of 738,6494 as per the given fractions.

LCM of 738,6494 is 2396286 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1745,2931

GCF of Fractions 1745/738,2931/6494 is 1/2396286

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

Greatest Common Factor of 1745,2931 By Matching Biggest Common Factor Method

Greatest Common Factor of 1745,2931 By Matching Biggest Common Factor Method

Factors of 1745

List of positive integer factors of 1745 that divides 1745 without a remainder.

1,5,349,1745

Factors of 2931

List of positive integer factors of 2931 that divides 2931 without a remainder.

1,3,977,2931

Greatest Common Factor

We found the factors 1745,2931 . The biggest common factor number is the GCF number.
So the greatest common factor 1745,2931 is 1.

Lets's calculate LCM of 738,6494

2 738, 6494
369, 3247

∴ So the LCM of the given numbers is 2 x 369 x 3247 = 2396286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2396286

Therefore, the GCF of Fractions 1745/738,2931/6494 is 1/2396286

Least Common Multiple of 738,6494 with GCF Formula

Least Common Multiple of 738,6494 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 738,6494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,6494) = 2

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

GCF(738,6494) x common factors =2 x 1 = 2

LCM(738,6494) = ( 738 × 6494 ) / 2

LCM(738,6494) = 4792572 / 2

LCM(738,6494) = 2396286


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 1745/738, 2931/6494

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 1745/738, 2931/6494?

Answer: GCF of Numerators as per given numbers 1745/738, 2931/6494 is

GCF of Numerators i.e. for 1745,2931 is 1

LCM of denominators i.e. for 738,6494 is 2396286.

Thus, GCF of Fractions is 1/2396286.Finally, GCF of Fractions for 1745/738, 2931/6494 is 1/2396286.