How to Find GCF of 580/384, 793/204?

GCF of 580/384, 793/204

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 580/384, 793/204 i.e 1/6528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 580/384, 793/204.

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 580/384,793/204?

Given fractions are 580/384,793/204

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 580/384,793/204, numerators are 580,793

Denominators are 384,204

The GCF of 580,793 is 1 .

LCM of 384,204 is 6528.

The greatest common factor of 580/384,793/204 = [GCF of 580,793]/[LCM of 384,204]= 1/6528

Therefore, the GCF of 580/384,793/204 is 1/6528.

Greatest Common Factor of 580,793

To find the highest common factor of 580,793, we have to find the factors of both numbers and list the highest common factor.

The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

The factors of 793 are 1, 13, 61, 793

The HCF of 580,793 is 1.

Lets's calculate GCF of 580,793

Greatest Common Factor (GCF) of 580,793 By Common Division

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

Greatest Common Factor of 580,793 By Matching Biggest Common Factor Method

Now, list down the factors of 580

1,2,4,5,10,20,29,58,116,145,290,580

Now, list down the factors of 793

1,13,61,793

Greatest Common Factor

We found the factors 580,793 . The biggest common factor number is the GCF number.
So the greatest common factor 580,793 is 1.

Lets's calculate LCM of 384,204

Lowest Common Multiple of 384,204 using Common Division

2	384, 204
2	192, 102
3	96, 51
	32, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 32 x 17 = 6528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6528

Therefore, the GCF of Fractions 580/384,793/204 is 1/6528

Least Common Multiple of 384,204 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 384,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,204) = 12

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

GCF(384,204) x common factors =12 x 1 = 12

LCM(384,204) = ( 384 × 204 ) / 12

LCM(384,204) = 78336 / 12

LCM(384,204) = 6528

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FAQs on GCF of Fractions of 580/384, 793/204

1. What is the HCF of 580,793?

The HCF of 580,793 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 580/384, 793/204?

Answer: GCF of Numerators as per given numbers 580/384, 793/204 is

GCF of Numerators i.e. for 580,793 is 1

LCM of denominators i.e. for 384,204 is 6528.

Thus, GCF of Fractions is 1/6528.Finally, GCF of Fractions for 580/384, 793/204 is 1/6528.