How to Find GCF of 2593/728, 6321/2500?

GCF of 2593/728, 6321/2500

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 2593/728, 6321/2500 i.e 1/455000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2593/728, 6321/2500.

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 2593/728,6321/2500?

Given fractions are 2593/728,6321/2500

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 2593/728,6321/2500, numerators are 2593,6321

Denominators are 728,2500

The GCF of 2593,6321 is 1 .

LCM of 728,2500 is 455000.

The greatest common factor of 2593/728,6321/2500 = [GCF of 2593,6321]/[LCM of 728,2500]= 1/455000

Therefore, the GCF of 2593/728,6321/2500 is 1/455000.

Greatest Common Factor of 2593,6321

To find the highest common factor of 2593,6321, we have to find the factors of both numbers and list the highest common factor.

The factors of 2593 are 1, 2593

The factors of 6321 are 1, 3, 7, 21, 43, 49, 129, 147, 301, 903, 2107, 6321

The HCF of 2593,6321 is 1.

Lets's calculate GCF of 2593,6321

Greatest Common Factor (GCF) of 2593,6321 By Common Division

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

Greatest Common Factor of 2593,6321 By Matching Biggest Common Factor Method

Now, list down the factors of 2593

1,2593

Now, list down the factors of 6321

1,3,7,21,43,49,129,147,301,903,2107,6321

Greatest Common Factor

We found the factors 2593,6321 . The biggest common factor number is the GCF number.
So the greatest common factor 2593,6321 is 1.

Lets's calculate LCM of 728,2500

Lowest Common Multiple of 728,2500 using Common Division

2	728, 2500
2	364, 1250
	182, 625

∴ So the LCM of the given numbers is 2 x 2 x 182 x 625 = 455000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/455000

Therefore, the GCF of Fractions 2593/728,6321/2500 is 1/455000

Least Common Multiple of 728,2500 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 728,2500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,2500) = 4

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

GCF(728,2500) x common factors =4 x 1 = 4

LCM(728,2500) = ( 728 × 2500 ) / 4

LCM(728,2500) = 1820000 / 4

LCM(728,2500) = 455000

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FAQs on GCF of Fractions of 2593/728, 6321/2500

1. What is the HCF of 2593,6321?

The HCF of 2593,6321 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 2593/728, 6321/2500?

Answer: GCF of Numerators as per given numbers 2593/728, 6321/2500 is

GCF of Numerators i.e. for 2593,6321 is 1

LCM of denominators i.e. for 728,2500 is 455000.

Thus, GCF of Fractions is 1/455000.Finally, GCF of Fractions for 2593/728, 6321/2500 is 1/455000.