Greatest Common Factor of 5642/754, 2262/4909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5642/754, 2262/4909

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 5642/754,2262/4909

Given fractions are 5642/754,2262/4909

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 5642,2262

Greatest Common Factor of Numerators i.e. GCF of 5642,2262 is 26 .

LCM of Denominators means LCM of 754,4909 as per the given fractions.

LCM of 754,4909 is 3701386 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5642,2262

GCF of Fractions 5642/754,2262/4909 is 26/3701386

2 5642, 2262
13 2821, 1131
217, 87

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 5642,2262 By Matching Biggest Common Factor Method

Greatest Common Factor of 5642,2262 By Matching Biggest Common Factor Method

Factors of 5642

List of positive integer factors of 5642 that divides 5642 without a remainder.

1,2,7,13,14,26,31,62,91,182,217,403,434,806,2821,5642

Factors of 2262

List of positive integer factors of 2262 that divides 2262 without a remainder.

1,2,3,6,13,26,29,39,58,78,87,174,377,754,1131,2262

Greatest Common Factor

We found the factors 5642,2262 . The biggest common factor number is the GCF number.
So the greatest common factor 5642,2262 is 26.

Lets's calculate LCM of 754,4909

Given numbers has no common factors except 1. So, there LCM is their product i.e 3701386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/3701386

Therefore, the GCF of Fractions 5642/754,2262/4909 is 26/3701386

Least Common Multiple of 754,4909 with GCF Formula

Least Common Multiple of 754,4909 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 754,4909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,4909) = 1

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

GCF(754,4909) x common factors =1 x 1 = 1

LCM(754,4909) = ( 754 × 4909 ) / 1

LCM(754,4909) = 3701386 / 1

LCM(754,4909) = 3701386


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 5642/754, 2262/4909

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 5642/754, 2262/4909?

Answer: GCF of Numerators as per given numbers 5642/754, 2262/4909 is

GCF of Numerators i.e. for 5642,2262 is 26

LCM of denominators i.e. for 754,4909 is 3701386.

Thus, GCF of Fractions is 26/3701386.Finally, GCF of Fractions for 5642/754, 2262/4909 is 26/3701386.