Greatest Common Factor of 1755/272, 5716/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1755/272, 5716/767

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 1755/272,5716/767

Given fractions are 1755/272,5716/767

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 1755,5716

Greatest Common Factor of Numerators i.e. GCF of 1755,5716 is 1 .

LCM of Denominators means LCM of 272,767 as per the given fractions.

LCM of 272,767 is 208624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1755,5716

GCF of Fractions 1755/272,5716/767 is 1/208624

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

Greatest Common Factor of 1755,5716 By Matching Biggest Common Factor Method

Greatest Common Factor of 1755,5716 By Matching Biggest Common Factor Method

Factors of 1755

List of positive integer factors of 1755 that divides 1755 without a remainder.

1,3,5,9,13,15,27,39,45,65,117,135,195,351,585,1755

Factors of 5716

List of positive integer factors of 5716 that divides 5716 without a remainder.

1,2,4,1429,2858,5716

Greatest Common Factor

We found the factors 1755,5716 . The biggest common factor number is the GCF number.
So the greatest common factor 1755,5716 is 1.

Lets's calculate LCM of 272,767

Given numbers has no common factors except 1. So, there LCM is their product i.e 208624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208624

Therefore, the GCF of Fractions 1755/272,5716/767 is 1/208624

Least Common Multiple of 272,767 with GCF Formula

Least Common Multiple of 272,767 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 272,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,767) = 1

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

GCF(272,767) x common factors =1 x 1 = 1

LCM(272,767) = ( 272 × 767 ) / 1

LCM(272,767) = 208624 / 1

LCM(272,767) = 208624


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 1755/272, 5716/767

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 1755/272, 5716/767?

Answer: GCF of Numerators as per given numbers 1755/272, 5716/767 is

GCF of Numerators i.e. for 1755,5716 is 1

LCM of denominators i.e. for 272,767 is 208624.

Thus, GCF of Fractions is 1/208624.Finally, GCF of Fractions for 1755/272, 5716/767 is 1/208624.