Greatest Common Factor of 376/305, 5382/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 376/305, 5382/731

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 376/305,5382/731

Given fractions are 376/305,5382/731

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 376,5382

Greatest Common Factor of Numerators i.e. GCF of 376,5382 is 2 .

LCM of Denominators means LCM of 305,731 as per the given fractions.

LCM of 305,731 is 222955 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 376,5382

GCF of Fractions 376/305,5382/731 is 2/222955

2 376, 5382
188, 2691

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

Greatest Common Factor of 376,5382 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,5382 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 5382

List of positive integer factors of 5382 that divides 5382 without a remainder.

1,2,3,6,9,13,18,23,26,39,46,69,78,117,138,207,234,299,414,598,897,1794,2691,5382

Greatest Common Factor

We found the factors 376,5382 . The biggest common factor number is the GCF number.
So the greatest common factor 376,5382 is 2.

Lets's calculate LCM of 305,731

Given numbers has no common factors except 1. So, there LCM is their product i.e 222955

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/222955

Therefore, the GCF of Fractions 376/305,5382/731 is 2/222955

Least Common Multiple of 305,731 with GCF Formula

Least Common Multiple of 305,731 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 305,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,731) = 1

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

GCF(305,731) x common factors =1 x 1 = 1

LCM(305,731) = ( 305 × 731 ) / 1

LCM(305,731) = 222955 / 1

LCM(305,731) = 222955


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 376/305, 5382/731

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 376/305, 5382/731?

Answer: GCF of Numerators as per given numbers 376/305, 5382/731 is

GCF of Numerators i.e. for 376,5382 is 2

LCM of denominators i.e. for 305,731 is 222955.

Thus, GCF of Fractions is 2/222955.Finally, GCF of Fractions for 376/305, 5382/731 is 2/222955.