Greatest Common Factor of 294/187, 476/542, 640/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 294/187, 476/542, 640/739

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 294/187,476/542,640/739

Given fractions are 294/187,476/542,640/739

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 294,476,640

Greatest Common Factor of Numerators i.e. GCF of 294,476,640 is 2 .

LCM of Denominators means LCM of 187,542,739 as per the given fractions.

LCM of 187,542,739 is 74900606 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 294,476,640

GCF of Fractions 294/187,476/542,640/739 is 2/74900606

2 294, 476, 640
147, 238, 320

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

Greatest Common Factor of 294,476,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,476,640 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 294,476,640 . The biggest common factor number is the GCF number.
So the greatest common factor 294,476,640 is 2.

Lets's calculate LCM of 187,542,739

Given numbers has no common factors except 1. So, there LCM is their product i.e 74900606

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/74900606

Therefore, the GCF of Fractions 294/187,476/542,640/739 is 2/74900606

Least Common Multiple of 187,542,739 with GCF Formula

Least Common Multiple of 187,542,739 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 187,542,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,542,739) = 1

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

GCF(187,542,739) x common factors =1 x 1 = 1

LCM(187,542,739) = ( 187 × 542 × 739 ) / 1

LCM(187,542,739) = 74900606 / 1

LCM(187,542,739) = 74900606


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 294/187, 476/542, 640/739

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 294/187, 476/542, 640/739?

Answer: GCF of Numerators as per given numbers 294/187, 476/542, 640/739 is

GCF of Numerators i.e. for 294,476,640 is 2

LCM of denominators i.e. for 187,542,739 is 74900606.

Thus, GCF of Fractions is 2/74900606.Finally, GCF of Fractions for 294/187, 476/542, 640/739 is 2/74900606.