Greatest Common Factor of 7091/340, 7114/6571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7091/340, 7114/6571

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 7091/340,7114/6571

Given fractions are 7091/340,7114/6571

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 7091,7114

Greatest Common Factor of Numerators i.e. GCF of 7091,7114 is 1 .

LCM of Denominators means LCM of 340,6571 as per the given fractions.

LCM of 340,6571 is 2234140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7091,7114

GCF of Fractions 7091/340,7114/6571 is 1/2234140

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

Greatest Common Factor of 7091,7114 By Matching Biggest Common Factor Method

Greatest Common Factor of 7091,7114 By Matching Biggest Common Factor Method

Factors of 7091

List of positive integer factors of 7091 that divides 7091 without a remainder.

1,7,1013,7091

Factors of 7114

List of positive integer factors of 7114 that divides 7114 without a remainder.

1,2,3557,7114

Greatest Common Factor

We found the factors 7091,7114 . The biggest common factor number is the GCF number.
So the greatest common factor 7091,7114 is 1.

Lets's calculate LCM of 340,6571

Given numbers has no common factors except 1. So, there LCM is their product i.e 2234140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2234140

Therefore, the GCF of Fractions 7091/340,7114/6571 is 1/2234140

Least Common Multiple of 340,6571 with GCF Formula

Least Common Multiple of 340,6571 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 340,6571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,6571) = 1

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

GCF(340,6571) x common factors =1 x 1 = 1

LCM(340,6571) = ( 340 × 6571 ) / 1

LCM(340,6571) = 2234140 / 1

LCM(340,6571) = 2234140


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 7091/340, 7114/6571

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 7091/340, 7114/6571?

Answer: GCF of Numerators as per given numbers 7091/340, 7114/6571 is

GCF of Numerators i.e. for 7091,7114 is 1

LCM of denominators i.e. for 340,6571 is 2234140.

Thus, GCF of Fractions is 1/2234140.Finally, GCF of Fractions for 7091/340, 7114/6571 is 1/2234140.