Greatest Common Factor of 60/78, 97/17, 379/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 60/78, 97/17, 379/334

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 60/78,97/17,379/334

Given fractions are 60/78,97/17,379/334

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 60,97,379

Greatest Common Factor of Numerators i.e. GCF of 60,97,379 is 1 .

LCM of Denominators means LCM of 78,17,334 as per the given fractions.

LCM of 78,17,334 is 221442 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 60,97,379

GCF of Fractions 60/78,97/17,379/334 is 1/221442

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

Greatest Common Factor of 60,97,379 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,97,379 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 379

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

1,379

Greatest Common Factor

We found the factors 60,97,379 . The biggest common factor number is the GCF number.
So the greatest common factor 60,97,379 is 1.

Lets's calculate LCM of 78,17,334

2 78, 17, 334
39, 17, 167

∴ So the LCM of the given numbers is 2 x 39 x 17 x 167 = 221442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221442

Therefore, the GCF of Fractions 60/78,97/17,379/334 is 1/221442

Least Common Multiple of 78,17,334 with GCF Formula

Least Common Multiple of 78,17,334 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 78,17,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,17,334) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,17,334) x common factors =1 x 2 = 2

LCM(78,17,334) = ( 78 × 17 × 334 ) / 2

LCM(78,17,334) = 442884 / 2

LCM(78,17,334) = 221442


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 60/78, 97/17, 379/334

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 60/78, 97/17, 379/334?

Answer: GCF of Numerators as per given numbers 60/78, 97/17, 379/334 is

GCF of Numerators i.e. for 60,97,379 is 1

LCM of denominators i.e. for 78,17,334 is 221442.

Thus, GCF of Fractions is 1/221442.Finally, GCF of Fractions for 60/78, 97/17, 379/334 is 1/221442.