How to Find GCF of 5093/330, 6159/380?

GCF of 5093/330, 6159/380

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 5093/330, 6159/380 i.e 1/12540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5093/330, 6159/380.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5093/330,6159/380?

Given fractions are 5093/330,6159/380

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 5093/330,6159/380, numerators are 5093,6159

Denominators are 330,380

The GCF of 5093,6159 is 1 .

LCM of 330,380 is 12540.

The greatest common factor of 5093/330,6159/380 = [GCF of 5093,6159]/[LCM of 330,380]= 1/12540

Therefore, the GCF of 5093/330,6159/380 is 1/12540.

Greatest Common Factor of 5093,6159

To find the highest common factor of 5093,6159, we have to find the factors of both numbers and list the highest common factor.

The factors of 5093 are 1, 11, 463, 5093

The factors of 6159 are 1, 3, 2053, 6159

The HCF of 5093,6159 is 1.

Lets's calculate GCF of 5093,6159

Greatest Common Factor (GCF) of 5093,6159 By Common Division

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

Greatest Common Factor of 5093,6159 By Matching Biggest Common Factor Method

Now, list down the factors of 5093

1,11,463,5093

Now, list down the factors of 6159

1,3,2053,6159

Greatest Common Factor

We found the factors 5093,6159 . The biggest common factor number is the GCF number.
So the greatest common factor 5093,6159 is 1.

Lets's calculate LCM of 330,380

Lowest Common Multiple of 330,380 using Common Division

2	330, 380
5	165, 190
	33, 38

∴ So the LCM of the given numbers is 2 x 5 x 33 x 38 = 12540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12540

Therefore, the GCF of Fractions 5093/330,6159/380 is 1/12540

Least Common Multiple of 330,380 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 330,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,380) = 10

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

GCF(330,380) x common factors =10 x 1 = 10

LCM(330,380) = ( 330 × 380 ) / 10

LCM(330,380) = 125400 / 10

LCM(330,380) = 12540

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FAQs on GCF of Fractions of 5093/330, 6159/380

1. What is the HCF of 5093,6159?

The HCF of 5093,6159 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 5093/330, 6159/380?

Answer: GCF of Numerators as per given numbers 5093/330, 6159/380 is

GCF of Numerators i.e. for 5093,6159 is 1

LCM of denominators i.e. for 330,380 is 12540.

Thus, GCF of Fractions is 1/12540.Finally, GCF of Fractions for 5093/330, 6159/380 is 1/12540.