Greatest Common Factor of 3242/172, 1269/6330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3242/172, 1269/6330

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 3242/172,1269/6330

Given fractions are 3242/172,1269/6330

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 3242,1269

Greatest Common Factor of Numerators i.e. GCF of 3242,1269 is 1 .

LCM of Denominators means LCM of 172,6330 as per the given fractions.

LCM of 172,6330 is 544380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3242,1269

GCF of Fractions 3242/172,1269/6330 is 1/544380

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

Greatest Common Factor of 3242,1269 By Matching Biggest Common Factor Method

Greatest Common Factor of 3242,1269 By Matching Biggest Common Factor Method

Factors of 3242

List of positive integer factors of 3242 that divides 3242 without a remainder.

1,2,1621,3242

Factors of 1269

List of positive integer factors of 1269 that divides 1269 without a remainder.

1,3,9,27,47,141,423,1269

Greatest Common Factor

We found the factors 3242,1269 . The biggest common factor number is the GCF number.
So the greatest common factor 3242,1269 is 1.

Lets's calculate LCM of 172,6330

2 172, 6330
86, 3165

∴ So the LCM of the given numbers is 2 x 86 x 3165 = 544380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/544380

Therefore, the GCF of Fractions 3242/172,1269/6330 is 1/544380

Least Common Multiple of 172,6330 with GCF Formula

Least Common Multiple of 172,6330 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 172,6330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,6330) = 2

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

GCF(172,6330) x common factors =2 x 1 = 2

LCM(172,6330) = ( 172 × 6330 ) / 2

LCM(172,6330) = 1088760 / 2

LCM(172,6330) = 544380


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 3242/172, 1269/6330

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 3242/172, 1269/6330?

Answer: GCF of Numerators as per given numbers 3242/172, 1269/6330 is

GCF of Numerators i.e. for 3242,1269 is 1

LCM of denominators i.e. for 172,6330 is 544380.

Thus, GCF of Fractions is 1/544380.Finally, GCF of Fractions for 3242/172, 1269/6330 is 1/544380.