Greatest Common Factor of 1711/137, 5941/6732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1711/137, 5941/6732

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 1711/137,5941/6732

Given fractions are 1711/137,5941/6732

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 1711,5941

Greatest Common Factor of Numerators i.e. GCF of 1711,5941 is 1 .

LCM of Denominators means LCM of 137,6732 as per the given fractions.

LCM of 137,6732 is 922284 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1711,5941

GCF of Fractions 1711/137,5941/6732 is 1/922284

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

Greatest Common Factor of 1711,5941 By Matching Biggest Common Factor Method

Greatest Common Factor of 1711,5941 By Matching Biggest Common Factor Method

Factors of 1711

List of positive integer factors of 1711 that divides 1711 without a remainder.

1,29,59,1711

Factors of 5941

List of positive integer factors of 5941 that divides 5941 without a remainder.

1,13,457,5941

Greatest Common Factor

We found the factors 1711,5941 . The biggest common factor number is the GCF number.
So the greatest common factor 1711,5941 is 1.

Lets's calculate LCM of 137,6732

Given numbers has no common factors except 1. So, there LCM is their product i.e 922284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/922284

Therefore, the GCF of Fractions 1711/137,5941/6732 is 1/922284

Least Common Multiple of 137,6732 with GCF Formula

Least Common Multiple of 137,6732 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 137,6732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,6732) = 1

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

GCF(137,6732) x common factors =1 x 1 = 1

LCM(137,6732) = ( 137 × 6732 ) / 1

LCM(137,6732) = 922284 / 1

LCM(137,6732) = 922284


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 1711/137, 5941/6732

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 1711/137, 5941/6732?

Answer: GCF of Numerators as per given numbers 1711/137, 5941/6732 is

GCF of Numerators i.e. for 1711,5941 is 1

LCM of denominators i.e. for 137,6732 is 922284.

Thus, GCF of Fractions is 1/922284.Finally, GCF of Fractions for 1711/137, 5941/6732 is 1/922284.