Greatest Common Factor of 1338/349, 3277/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1338/349, 3277/572

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 1338/349,3277/572

Given fractions are 1338/349,3277/572

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 1338,3277

Greatest Common Factor of Numerators i.e. GCF of 1338,3277 is 1 .

LCM of Denominators means LCM of 349,572 as per the given fractions.

LCM of 349,572 is 199628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1338,3277

GCF of Fractions 1338/349,3277/572 is 1/199628

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

Greatest Common Factor of 1338,3277 By Matching Biggest Common Factor Method

Greatest Common Factor of 1338,3277 By Matching Biggest Common Factor Method

Factors of 1338

List of positive integer factors of 1338 that divides 1338 without a remainder.

1,2,3,6,223,446,669,1338

Factors of 3277

List of positive integer factors of 3277 that divides 3277 without a remainder.

1,29,113,3277

Greatest Common Factor

We found the factors 1338,3277 . The biggest common factor number is the GCF number.
So the greatest common factor 1338,3277 is 1.

Lets's calculate LCM of 349,572

Given numbers has no common factors except 1. So, there LCM is their product i.e 199628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199628

Therefore, the GCF of Fractions 1338/349,3277/572 is 1/199628

Least Common Multiple of 349,572 with GCF Formula

Least Common Multiple of 349,572 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 349,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,572) = 1

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

GCF(349,572) x common factors =1 x 1 = 1

LCM(349,572) = ( 349 × 572 ) / 1

LCM(349,572) = 199628 / 1

LCM(349,572) = 199628


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 1338/349, 3277/572

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 1338/349, 3277/572?

Answer: GCF of Numerators as per given numbers 1338/349, 3277/572 is

GCF of Numerators i.e. for 1338,3277 is 1

LCM of denominators i.e. for 349,572 is 199628.

Thus, GCF of Fractions is 1/199628.Finally, GCF of Fractions for 1338/349, 3277/572 is 1/199628.