Greatest Common Factor of 376/289, 454/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 376/289, 454/965

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 376/289,454/965

Given fractions are 376/289,454/965

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 376,454

Greatest Common Factor of Numerators i.e. GCF of 376,454 is 2 .

LCM of Denominators means LCM of 289,965 as per the given fractions.

LCM of 289,965 is 278885 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 376,454

GCF of Fractions 376/289,454/965 is 2/278885

2 376, 454
188, 227

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 376,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,454 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 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 376,454 . The biggest common factor number is the GCF number.
So the greatest common factor 376,454 is 2.

Lets's calculate LCM of 289,965

Given numbers has no common factors except 1. So, there LCM is their product i.e 278885

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/278885

Therefore, the GCF of Fractions 376/289,454/965 is 2/278885

Least Common Multiple of 289,965 with GCF Formula

Least Common Multiple of 289,965 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 289,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,965) = 1

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

GCF(289,965) x common factors =1 x 1 = 1

LCM(289,965) = ( 289 × 965 ) / 1

LCM(289,965) = 278885 / 1

LCM(289,965) = 278885


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 376/289, 454/965

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 376/289, 454/965?

Answer: GCF of Numerators as per given numbers 376/289, 454/965 is

GCF of Numerators i.e. for 376,454 is 2

LCM of denominators i.e. for 289,965 is 278885.

Thus, GCF of Fractions is 2/278885.Finally, GCF of Fractions for 376/289, 454/965 is 2/278885.