Greatest Common Factor of 379/71, 554/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 379/71, 554/368

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 379/71,554/368

Given fractions are 379/71,554/368

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 379,554

Greatest Common Factor of Numerators i.e. GCF of 379,554 is 1 .

LCM of Denominators means LCM of 71,368 as per the given fractions.

LCM of 71,368 is 26128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 379,554

GCF of Fractions 379/71,554/368 is 1/26128

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

Greatest Common Factor of 379,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 379,554 By Matching Biggest Common Factor Method

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 379,554 . The biggest common factor number is the GCF number.
So the greatest common factor 379,554 is 1.

Lets's calculate LCM of 71,368

Given numbers has no common factors except 1. So, there LCM is their product i.e 26128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26128

Therefore, the GCF of Fractions 379/71,554/368 is 1/26128

Least Common Multiple of 71,368 with GCF Formula

Least Common Multiple of 71,368 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 71,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,368) = 1

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

GCF(71,368) x common factors =1 x 1 = 1

LCM(71,368) = ( 71 × 368 ) / 1

LCM(71,368) = 26128 / 1

LCM(71,368) = 26128


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 379/71, 554/368

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 379/71, 554/368?

Answer: GCF of Numerators as per given numbers 379/71, 554/368 is

GCF of Numerators i.e. for 379,554 is 1

LCM of denominators i.e. for 71,368 is 26128.

Thus, GCF of Fractions is 1/26128.Finally, GCF of Fractions for 379/71, 554/368 is 1/26128.