Greatest Common Factor of 453/13, 748/14, 378/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 453/13, 748/14, 378/339

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 453/13,748/14,378/339

Given fractions are 453/13,748/14,378/339

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 453,748,378

Greatest Common Factor of Numerators i.e. GCF of 453,748,378 is 1 .

LCM of Denominators means LCM of 13,14,339 as per the given fractions.

LCM of 13,14,339 is 61698 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 453,748,378

GCF of Fractions 453/13,748/14,378/339 is 1/61698

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

Greatest Common Factor of 453,748,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,748,378 By Matching Biggest Common Factor Method

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 453,748,378 . The biggest common factor number is the GCF number.
So the greatest common factor 453,748,378 is 1.

Lets's calculate LCM of 13,14,339

Given numbers has no common factors except 1. So, there LCM is their product i.e 61698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61698

Therefore, the GCF of Fractions 453/13,748/14,378/339 is 1/61698

Least Common Multiple of 13,14,339 with GCF Formula

Least Common Multiple of 13,14,339 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 13,14,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,14,339) = 1

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

GCF(13,14,339) x common factors =1 x 1 = 1

LCM(13,14,339) = ( 13 × 14 × 339 ) / 1

LCM(13,14,339) = 61698 / 1

LCM(13,14,339) = 61698


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 453/13, 748/14, 378/339

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 453/13, 748/14, 378/339?

Answer: GCF of Numerators as per given numbers 453/13, 748/14, 378/339 is

GCF of Numerators i.e. for 453,748,378 is 1

LCM of denominators i.e. for 13,14,339 is 61698.

Thus, GCF of Fractions is 1/61698.Finally, GCF of Fractions for 453/13, 748/14, 378/339 is 1/61698.