Greatest Common Factor of 2744/51, 3423/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2744/51, 3423/523

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 2744/51,3423/523

Given fractions are 2744/51,3423/523

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 2744,3423

Greatest Common Factor of Numerators i.e. GCF of 2744,3423 is 7 .

LCM of Denominators means LCM of 51,523 as per the given fractions.

LCM of 51,523 is 26673 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2744,3423

GCF of Fractions 2744/51,3423/523 is 7/26673

7 2744, 3423
392, 489

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 2744,3423 By Matching Biggest Common Factor Method

Greatest Common Factor of 2744,3423 By Matching Biggest Common Factor Method

Factors of 2744

List of positive integer factors of 2744 that divides 2744 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,343,392,686,1372,2744

Factors of 3423

List of positive integer factors of 3423 that divides 3423 without a remainder.

1,3,7,21,163,489,1141,3423

Greatest Common Factor

We found the factors 2744,3423 . The biggest common factor number is the GCF number.
So the greatest common factor 2744,3423 is 7.

Lets's calculate LCM of 51,523

Given numbers has no common factors except 1. So, there LCM is their product i.e 26673

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/26673

Therefore, the GCF of Fractions 2744/51,3423/523 is 7/26673

Least Common Multiple of 51,523 with GCF Formula

Least Common Multiple of 51,523 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 51,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,523) = 1

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

GCF(51,523) x common factors =1 x 1 = 1

LCM(51,523) = ( 51 × 523 ) / 1

LCM(51,523) = 26673 / 1

LCM(51,523) = 26673


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 2744/51, 3423/523

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 2744/51, 3423/523?

Answer: GCF of Numerators as per given numbers 2744/51, 3423/523 is

GCF of Numerators i.e. for 2744,3423 is 7

LCM of denominators i.e. for 51,523 is 26673.

Thus, GCF of Fractions is 7/26673.Finally, GCF of Fractions for 2744/51, 3423/523 is 7/26673.