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GCF of 2732/399, 5623/6809

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 2732/399, 5623/6809 i.e 1/2716791 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2732/399, 5623/6809.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 2732/399,5623/6809?

Given fractions are 2732/399,5623/6809

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 2732/399,5623/6809, numerators are 2732,5623

Denominators are 399,6809

The GCF of 2732,5623 is 1 .

LCM of 399,6809 is 2716791.

The greatest common factor of 2732/399,5623/6809 = [GCF of 2732,5623]/[LCM of 399,6809]= 1/2716791

Therefore, the GCF of 2732/399,5623/6809 is 1/2716791.

Greatest Common Factor of 2732,5623

To find the highest common factor of 2732,5623, we have to find the factors of both numbers and list the highest common factor.

The factors of 2732 are 1, 2, 4, 683, 1366, 2732

The factors of 5623 are 1, 5623

The HCF of 2732,5623 is 1.

Lets's calculate GCF of 2732,5623

Greatest Common Factor (GCF) of 2732,5623 By Common Division

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

Greatest Common Factor of 2732,5623 By Matching Biggest Common Factor Method

Greatest Common Factor of 2732,5623 By Matching Biggest Common Factor Method

Now, list down the factors of 2732

:

1,2,4,683,1366,2732

Now, list down the factors of 5623

:

1,5623

Greatest Common Factor

We found the factors 2732,5623 . The biggest common factor number is the GCF number.
So the greatest common factor 2732,5623 is 1.

Lets's calculate LCM of 399,6809

Lowest Common Multiple of 399,6809 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2716791

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2716791

Therefore, the GCF of Fractions 2732/399,5623/6809 is 1/2716791

Least Common Multiple of 399,6809 with GCF Formula

Least Common Multiple of 399,6809 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 399,6809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,6809) = 1

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

GCF(399,6809) x common factors =1 x 1 = 1

LCM(399,6809) = ( 399 × 6809 ) / 1

LCM(399,6809) = 2716791 / 1

LCM(399,6809) = 2716791


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FAQs on GCF of Fractions of 2732/399, 5623/6809

1. What is the HCF of 2732,5623?

The HCF of 2732,5623 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 2732/399, 5623/6809?

Answer: GCF of Numerators as per given numbers 2732/399, 5623/6809 is

GCF of Numerators i.e. for 2732,5623 is 1

LCM of denominators i.e. for 399,6809 is 2716791.

Thus, GCF of Fractions is 1/2716791.Finally, GCF of Fractions for 2732/399, 5623/6809 is 1/2716791.