Greatest Common Factor of 6742/215, 8746/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6742/215, 8746/356

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 6742/215,8746/356

Given fractions are 6742/215,8746/356

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 6742,8746

Greatest Common Factor of Numerators i.e. GCF of 6742,8746 is 2 .

LCM of Denominators means LCM of 215,356 as per the given fractions.

LCM of 215,356 is 76540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6742,8746

GCF of Fractions 6742/215,8746/356 is 2/76540

2 6742, 8746
3371, 4373

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

Greatest Common Factor of 6742,8746 By Matching Biggest Common Factor Method

Greatest Common Factor of 6742,8746 By Matching Biggest Common Factor Method

Factors of 6742

List of positive integer factors of 6742 that divides 6742 without a remainder.

1,2,3371,6742

Factors of 8746

List of positive integer factors of 8746 that divides 8746 without a remainder.

1,2,4373,8746

Greatest Common Factor

We found the factors 6742,8746 . The biggest common factor number is the GCF number.
So the greatest common factor 6742,8746 is 2.

Lets's calculate LCM of 215,356

Given numbers has no common factors except 1. So, there LCM is their product i.e 76540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/76540

Therefore, the GCF of Fractions 6742/215,8746/356 is 2/76540

Least Common Multiple of 215,356 with GCF Formula

Least Common Multiple of 215,356 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 215,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,356) = 1

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

GCF(215,356) x common factors =1 x 1 = 1

LCM(215,356) = ( 215 × 356 ) / 1

LCM(215,356) = 76540 / 1

LCM(215,356) = 76540


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 6742/215, 8746/356

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 6742/215, 8746/356?

Answer: GCF of Numerators as per given numbers 6742/215, 8746/356 is

GCF of Numerators i.e. for 6742,8746 is 2

LCM of denominators i.e. for 215,356 is 76540.

Thus, GCF of Fractions is 2/76540.Finally, GCF of Fractions for 6742/215, 8746/356 is 2/76540.