Greatest Common Factor of 379/94, 615/90, 349/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 379/94, 615/90, 349/381

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 379/94,615/90,349/381

Given fractions are 379/94,615/90,349/381

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 379,615,349

Greatest Common Factor of Numerators i.e. GCF of 379,615,349 is 1 .

LCM of Denominators means LCM of 94,90,381 as per the given fractions.

LCM of 94,90,381 is 537210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 379,615,349

GCF of Fractions 379/94,615/90,349/381 is 1/537210

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

Greatest Common Factor of 379,615,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 379,615,349 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 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors 379,615,349 . The biggest common factor number is the GCF number.
So the greatest common factor 379,615,349 is 1.

Lets's calculate LCM of 94,90,381

2 94, 90, 381
3 47, 45, 381
47, 15, 127

∴ So the LCM of the given numbers is 2 x 3 x 47 x 15 x 127 = 537210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/537210

Therefore, the GCF of Fractions 379/94,615/90,349/381 is 1/537210

Least Common Multiple of 94,90,381 with GCF Formula

Least Common Multiple of 94,90,381 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 94,90,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,90,381) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(94,90,381) x common factors =1 x 6 = 6

LCM(94,90,381) = ( 94 × 90 × 381 ) / 6

LCM(94,90,381) = 3223260 / 6

LCM(94,90,381) = 537210


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 379/94, 615/90, 349/381

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 379/94, 615/90, 349/381?

Answer: GCF of Numerators as per given numbers 379/94, 615/90, 349/381 is

GCF of Numerators i.e. for 379,615,349 is 1

LCM of denominators i.e. for 94,90,381 is 537210.

Thus, GCF of Fractions is 1/537210.Finally, GCF of Fractions for 379/94, 615/90, 349/381 is 1/537210.