Greatest Common Factor of 377/108, 348/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 377/108, 348/494

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 377/108,348/494

Given fractions are 377/108,348/494

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 377,348

Greatest Common Factor of Numerators i.e. GCF of 377,348 is 29 .

LCM of Denominators means LCM of 108,494 as per the given fractions.

LCM of 108,494 is 26676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 377,348

GCF of Fractions 377/108,348/494 is 29/26676

29 377, 348
13, 12

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 377,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 377,348 By Matching Biggest Common Factor Method

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 377,348 . The biggest common factor number is the GCF number.
So the greatest common factor 377,348 is 29.

Lets's calculate LCM of 108,494

2 108, 494
54, 247

∴ So the LCM of the given numbers is 2 x 54 x 247 = 26676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/26676

Therefore, the GCF of Fractions 377/108,348/494 is 29/26676

Least Common Multiple of 108,494 with GCF Formula

Least Common Multiple of 108,494 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 108,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,494) = 2

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

GCF(108,494) x common factors =2 x 1 = 2

LCM(108,494) = ( 108 × 494 ) / 2

LCM(108,494) = 53352 / 2

LCM(108,494) = 26676


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 377/108, 348/494

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 377/108, 348/494?

Answer: GCF of Numerators as per given numbers 377/108, 348/494 is

GCF of Numerators i.e. for 377,348 is 29

LCM of denominators i.e. for 108,494 is 26676.

Thus, GCF of Fractions is 29/26676.Finally, GCF of Fractions for 377/108, 348/494 is 29/26676.