How to Find GCF of 4393/580, 7940/2413?

GCF of 4393/580, 7940/2413

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 4393/580, 7940/2413 i.e 1/1399540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4393/580, 7940/2413.

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 4393/580,7940/2413?

Given fractions are 4393/580,7940/2413

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 4393/580,7940/2413, numerators are 4393,7940

Denominators are 580,2413

The GCF of 4393,7940 is 1 .

LCM of 580,2413 is 1399540.

The greatest common factor of 4393/580,7940/2413 = [GCF of 4393,7940]/[LCM of 580,2413]= 1/1399540

Therefore, the GCF of 4393/580,7940/2413 is 1/1399540.

Greatest Common Factor of 4393,7940

To find the highest common factor of 4393,7940, we have to find the factors of both numbers and list the highest common factor.

The factors of 4393 are 1, 23, 191, 4393

The factors of 7940 are 1, 2, 4, 5, 10, 20, 397, 794, 1588, 1985, 3970, 7940

The HCF of 4393,7940 is 1.

Lets's calculate GCF of 4393,7940

Greatest Common Factor (GCF) of 4393,7940 By Common Division

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

Greatest Common Factor of 4393,7940 By Matching Biggest Common Factor Method

Now, list down the factors of 4393

1,23,191,4393

Now, list down the factors of 7940

1,2,4,5,10,20,397,794,1588,1985,3970,7940

Greatest Common Factor

We found the factors 4393,7940 . The biggest common factor number is the GCF number.
So the greatest common factor 4393,7940 is 1.

Lets's calculate LCM of 580,2413

Lowest Common Multiple of 580,2413 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1399540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1399540

Therefore, the GCF of Fractions 4393/580,7940/2413 is 1/1399540

Least Common Multiple of 580,2413 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 580,2413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,2413) = 1

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

GCF(580,2413) x common factors =1 x 1 = 1

LCM(580,2413) = ( 580 × 2413 ) / 1

LCM(580,2413) = 1399540 / 1

LCM(580,2413) = 1399540

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FAQs on GCF of Fractions of 4393/580, 7940/2413

1. What is the HCF of 4393,7940?

The HCF of 4393,7940 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 4393/580, 7940/2413?

Answer: GCF of Numerators as per given numbers 4393/580, 7940/2413 is

GCF of Numerators i.e. for 4393,7940 is 1

LCM of denominators i.e. for 580,2413 is 1399540.

Thus, GCF of Fractions is 1/1399540.Finally, GCF of Fractions for 4393/580, 7940/2413 is 1/1399540.