Greatest Common Factor of 2743/165, 5877/5607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2743/165, 5877/5607

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 2743/165,5877/5607

Given fractions are 2743/165,5877/5607

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 2743,5877

Greatest Common Factor of Numerators i.e. GCF of 2743,5877 is 1 .

LCM of Denominators means LCM of 165,5607 as per the given fractions.

LCM of 165,5607 is 308385 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2743,5877

GCF of Fractions 2743/165,5877/5607 is 1/308385

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

Greatest Common Factor of 2743,5877 By Matching Biggest Common Factor Method

Greatest Common Factor of 2743,5877 By Matching Biggest Common Factor Method

Factors of 2743

List of positive integer factors of 2743 that divides 2743 without a remainder.

1,13,211,2743

Factors of 5877

List of positive integer factors of 5877 that divides 5877 without a remainder.

1,3,9,653,1959,5877

Greatest Common Factor

We found the factors 2743,5877 . The biggest common factor number is the GCF number.
So the greatest common factor 2743,5877 is 1.

Lets's calculate LCM of 165,5607

3 165, 5607
55, 1869

∴ So the LCM of the given numbers is 3 x 55 x 1869 = 308385

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/308385

Therefore, the GCF of Fractions 2743/165,5877/5607 is 1/308385

Least Common Multiple of 165,5607 with GCF Formula

Least Common Multiple of 165,5607 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 165,5607 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,5607) = 3

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

GCF(165,5607) x common factors =3 x 1 = 3

LCM(165,5607) = ( 165 × 5607 ) / 3

LCM(165,5607) = 925155 / 3

LCM(165,5607) = 308385


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 2743/165, 5877/5607

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 2743/165, 5877/5607?

Answer: GCF of Numerators as per given numbers 2743/165, 5877/5607 is

GCF of Numerators i.e. for 2743,5877 is 1

LCM of denominators i.e. for 165,5607 is 308385.

Thus, GCF of Fractions is 1/308385.Finally, GCF of Fractions for 2743/165, 5877/5607 is 1/308385.