Greatest Common Factor of 376/118, 376/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 376/118, 376/449

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 376/118,376/449

Given fractions are 376/118,376/449

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 376,376

Greatest Common Factor of Numerators i.e. GCF of 376,376 is 376 .

LCM of Denominators means LCM of 118,449 as per the given fractions.

LCM of 118,449 is 52982 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 376,376

GCF of Fractions 376/118,376/449 is 376/52982

2 376, 376
2 188, 188
2 94, 94
47 47, 47
1, 1

∴ So the GCF of the given numbers is 2 x 2 x 2 x 47 = 376

Greatest Common Factor of 376,376 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,376 By Matching Biggest Common Factor Method

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 376,376 . The biggest common factor number is the GCF number.
So the greatest common factor 376,376 is 376.

Lets's calculate LCM of 118,449

Given numbers has no common factors except 1. So, there LCM is their product i.e 52982

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 376/52982

Therefore, the GCF of Fractions 376/118,376/449 is 376/52982

Least Common Multiple of 118,449 with GCF Formula

Least Common Multiple of 118,449 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 118,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(118,449) = 1

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

GCF(118,449) x common factors =1 x 1 = 1

LCM(118,449) = ( 118 × 449 ) / 1

LCM(118,449) = 52982 / 1

LCM(118,449) = 52982


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 376/118, 376/449

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 376/118, 376/449?

Answer: GCF of Numerators as per given numbers 376/118, 376/449 is

GCF of Numerators i.e. for 376,376 is 376

LCM of denominators i.e. for 118,449 is 52982.

Thus, GCF of Fractions is 376/52982.Finally, GCF of Fractions for 376/118, 376/449 is 376/52982.