Greatest Common Factor of 6744/402, 1532/9395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6744/402, 1532/9395

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 6744/402,1532/9395

Given fractions are 6744/402,1532/9395

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 6744,1532

Greatest Common Factor of Numerators i.e. GCF of 6744,1532 is 4 .

LCM of Denominators means LCM of 402,9395 as per the given fractions.

LCM of 402,9395 is 3776790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6744,1532

GCF of Fractions 6744/402,1532/9395 is 4/3776790

2 6744, 1532
2 3372, 766
1686, 383

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6744,1532 By Matching Biggest Common Factor Method

Greatest Common Factor of 6744,1532 By Matching Biggest Common Factor Method

Factors of 6744

List of positive integer factors of 6744 that divides 6744 without a remainder.

1,2,3,4,6,8,12,24,281,562,843,1124,1686,2248,3372,6744

Factors of 1532

List of positive integer factors of 1532 that divides 1532 without a remainder.

1,2,4,383,766,1532

Greatest Common Factor

We found the factors 6744,1532 . The biggest common factor number is the GCF number.
So the greatest common factor 6744,1532 is 4.

Lets's calculate LCM of 402,9395

Given numbers has no common factors except 1. So, there LCM is their product i.e 3776790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3776790

Therefore, the GCF of Fractions 6744/402,1532/9395 is 4/3776790

Least Common Multiple of 402,9395 with GCF Formula

Least Common Multiple of 402,9395 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 402,9395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,9395) = 1

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

GCF(402,9395) x common factors =1 x 1 = 1

LCM(402,9395) = ( 402 × 9395 ) / 1

LCM(402,9395) = 3776790 / 1

LCM(402,9395) = 3776790


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 6744/402, 1532/9395

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 6744/402, 1532/9395?

Answer: GCF of Numerators as per given numbers 6744/402, 1532/9395 is

GCF of Numerators i.e. for 6744,1532 is 4

LCM of denominators i.e. for 402,9395 is 3776790.

Thus, GCF of Fractions is 4/3776790.Finally, GCF of Fractions for 6744/402, 1532/9395 is 4/3776790.