Greatest Common Factor of 30/38, 377/73, 334/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/38, 377/73, 334/560

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 30/38,377/73,334/560

Given fractions are 30/38,377/73,334/560

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 30,377,334

Greatest Common Factor of Numerators i.e. GCF of 30,377,334 is 1 .

LCM of Denominators means LCM of 38,73,560 as per the given fractions.

LCM of 38,73,560 is 776720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,377,334

GCF of Fractions 30/38,377/73,334/560 is 1/776720

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

Greatest Common Factor of 30,377,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,377,334 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 30,377,334 . The biggest common factor number is the GCF number.
So the greatest common factor 30,377,334 is 1.

Lets's calculate LCM of 38,73,560

2 38, 73, 560
19, 73, 280

∴ So the LCM of the given numbers is 2 x 19 x 73 x 280 = 776720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/776720

Therefore, the GCF of Fractions 30/38,377/73,334/560 is 1/776720

Least Common Multiple of 38,73,560 with GCF Formula

Least Common Multiple of 38,73,560 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 38,73,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,73,560) = 1

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

GCF(38,73,560) x common factors =1 x 2 = 2

LCM(38,73,560) = ( 38 × 73 × 560 ) / 2

LCM(38,73,560) = 1553440 / 2

LCM(38,73,560) = 776720


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 30/38, 377/73, 334/560

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 30/38, 377/73, 334/560?

Answer: GCF of Numerators as per given numbers 30/38, 377/73, 334/560 is

GCF of Numerators i.e. for 30,377,334 is 1

LCM of denominators i.e. for 38,73,560 is 776720.

Thus, GCF of Fractions is 1/776720.Finally, GCF of Fractions for 30/38, 377/73, 334/560 is 1/776720.