Greatest Common Factor of 341/672, 6937/3491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 341/672, 6937/3491

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 341/672,6937/3491

Given fractions are 341/672,6937/3491

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 341,6937

Greatest Common Factor of Numerators i.e. GCF of 341,6937 is 1 .

LCM of Denominators means LCM of 672,3491 as per the given fractions.

LCM of 672,3491 is 2345952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 341,6937

GCF of Fractions 341/672,6937/3491 is 1/2345952

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

Greatest Common Factor of 341,6937 By Matching Biggest Common Factor Method

Greatest Common Factor of 341,6937 By Matching Biggest Common Factor Method

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Factors of 6937

List of positive integer factors of 6937 that divides 6937 without a remainder.

1,7,991,6937

Greatest Common Factor

We found the factors 341,6937 . The biggest common factor number is the GCF number.
So the greatest common factor 341,6937 is 1.

Lets's calculate LCM of 672,3491

Given numbers has no common factors except 1. So, there LCM is their product i.e 2345952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2345952

Therefore, the GCF of Fractions 341/672,6937/3491 is 1/2345952

Least Common Multiple of 672,3491 with GCF Formula

Least Common Multiple of 672,3491 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 672,3491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,3491) = 1

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

GCF(672,3491) x common factors =1 x 1 = 1

LCM(672,3491) = ( 672 × 3491 ) / 1

LCM(672,3491) = 2345952 / 1

LCM(672,3491) = 2345952


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 341/672, 6937/3491

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 341/672, 6937/3491?

Answer: GCF of Numerators as per given numbers 341/672, 6937/3491 is

GCF of Numerators i.e. for 341,6937 is 1

LCM of denominators i.e. for 672,3491 is 2345952.

Thus, GCF of Fractions is 1/2345952.Finally, GCF of Fractions for 341/672, 6937/3491 is 1/2345952.