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GCF of 7321/821, 8579/744

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 7321/821, 8579/744 i.e 1/610824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7321/821, 8579/744.

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 7321/821,8579/744?

Given fractions are 7321/821,8579/744

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 7321/821,8579/744, numerators are 7321,8579

Denominators are 821,744

The GCF of 7321,8579 is 1 .

LCM of 821,744 is 610824.

The greatest common factor of 7321/821,8579/744 = [GCF of 7321,8579]/[LCM of 821,744]= 1/610824

Therefore, the GCF of 7321/821,8579/744 is 1/610824.

Greatest Common Factor of 7321,8579

To find the highest common factor of 7321,8579, we have to find the factors of both numbers and list the highest common factor.

The factors of 7321 are 1, 7321

The factors of 8579 are 1, 23, 373, 8579

The HCF of 7321,8579 is 1.

Lets's calculate GCF of 7321,8579

Greatest Common Factor (GCF) of 7321,8579 By Common Division

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

Greatest Common Factor of 7321,8579 By Matching Biggest Common Factor Method

Greatest Common Factor of 7321,8579 By Matching Biggest Common Factor Method

Now, list down the factors of 7321

:

1,7321

Now, list down the factors of 8579

:

1,23,373,8579

Greatest Common Factor

We found the factors 7321,8579 . The biggest common factor number is the GCF number.
So the greatest common factor 7321,8579 is 1.

Lets's calculate LCM of 821,744

Lowest Common Multiple of 821,744 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 610824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/610824

Therefore, the GCF of Fractions 7321/821,8579/744 is 1/610824

Least Common Multiple of 821,744 with GCF Formula

Least Common Multiple of 821,744 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 821,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,744) = 1

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

GCF(821,744) x common factors =1 x 1 = 1

LCM(821,744) = ( 821 × 744 ) / 1

LCM(821,744) = 610824 / 1

LCM(821,744) = 610824


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FAQs on GCF of Fractions of 7321/821, 8579/744

1. What is the HCF of 7321,8579?

The HCF of 7321,8579 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 7321/821, 8579/744?

Answer: GCF of Numerators as per given numbers 7321/821, 8579/744 is

GCF of Numerators i.e. for 7321,8579 is 1

LCM of denominators i.e. for 821,744 is 610824.

Thus, GCF of Fractions is 1/610824.Finally, GCF of Fractions for 7321/821, 8579/744 is 1/610824.