Greatest Common Factor of 5736/754, 1911/2757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5736/754, 1911/2757

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 5736/754,1911/2757

Given fractions are 5736/754,1911/2757

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 5736,1911

Greatest Common Factor of Numerators i.e. GCF of 5736,1911 is 3 .

LCM of Denominators means LCM of 754,2757 as per the given fractions.

LCM of 754,2757 is 2078778 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5736,1911

GCF of Fractions 5736/754,1911/2757 is 3/2078778

3 5736, 1911
1912, 637

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5736,1911 By Matching Biggest Common Factor Method

Greatest Common Factor of 5736,1911 By Matching Biggest Common Factor Method

Factors of 5736

List of positive integer factors of 5736 that divides 5736 without a remainder.

1,2,3,4,6,8,12,24,239,478,717,956,1434,1912,2868,5736

Factors of 1911

List of positive integer factors of 1911 that divides 1911 without a remainder.

1,3,7,13,21,39,49,91,147,273,637,1911

Greatest Common Factor

We found the factors 5736,1911 . The biggest common factor number is the GCF number.
So the greatest common factor 5736,1911 is 3.

Lets's calculate LCM of 754,2757

Given numbers has no common factors except 1. So, there LCM is their product i.e 2078778

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2078778

Therefore, the GCF of Fractions 5736/754,1911/2757 is 3/2078778

Least Common Multiple of 754,2757 with GCF Formula

Least Common Multiple of 754,2757 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 754,2757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,2757) = 1

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

GCF(754,2757) x common factors =1 x 1 = 1

LCM(754,2757) = ( 754 × 2757 ) / 1

LCM(754,2757) = 2078778 / 1

LCM(754,2757) = 2078778


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 5736/754, 1911/2757

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 5736/754, 1911/2757?

Answer: GCF of Numerators as per given numbers 5736/754, 1911/2757 is

GCF of Numerators i.e. for 5736,1911 is 3

LCM of denominators i.e. for 754,2757 is 2078778.

Thus, GCF of Fractions is 3/2078778.Finally, GCF of Fractions for 5736/754, 1911/2757 is 3/2078778.