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GCF of 322/289, 579/697

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 322/289, 579/697 i.e 1/11849 easily. The following is the detailed procedure to determine the greatest common factor of fractions 322/289, 579/697.

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 322/289,579/697?

Given fractions are 322/289,579/697

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 322/289,579/697, numerators are 322,579

Denominators are 289,697

The GCF of 322,579 is 1 .

LCM of 289,697 is 11849.

The greatest common factor of 322/289,579/697 = [GCF of 322,579]/[LCM of 289,697]= 1/11849

Therefore, the GCF of 322/289,579/697 is 1/11849.

Greatest Common Factor of 322,579

To find the highest common factor of 322,579, we have to find the factors of both numbers and list the highest common factor.

The factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322

The factors of 579 are 1, 3, 193, 579

The HCF of 322,579 is 1.

Lets's calculate GCF of 322,579

Greatest Common Factor (GCF) of 322,579 By Common Division

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

Greatest Common Factor of 322,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,579 By Matching Biggest Common Factor Method

Now, list down the factors of 322

:

1,2,7,14,23,46,161,322

Now, list down the factors of 579

:

1,3,193,579

Greatest Common Factor

We found the factors 322,579 . The biggest common factor number is the GCF number.
So the greatest common factor 322,579 is 1.

Lets's calculate LCM of 289,697

Lowest Common Multiple of 289,697 using Common Division

17 289, 697
17, 41

∴ So the LCM of the given numbers is 17 x 17 x 41 = 11849

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11849

Therefore, the GCF of Fractions 322/289,579/697 is 1/11849

Least Common Multiple of 289,697 with GCF Formula

Least Common Multiple of 289,697 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 289,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,697) = 17

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

GCF(289,697) x common factors =17 x 1 = 17

LCM(289,697) = ( 289 × 697 ) / 17

LCM(289,697) = 201433 / 17

LCM(289,697) = 11849


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FAQs on GCF of Fractions of 322/289, 579/697

1. What is the HCF of 322,579?

The HCF of 322,579 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 322/289, 579/697?

Answer: GCF of Numerators as per given numbers 322/289, 579/697 is

GCF of Numerators i.e. for 322,579 is 1

LCM of denominators i.e. for 289,697 is 11849.

Thus, GCF of Fractions is 1/11849.Finally, GCF of Fractions for 322/289, 579/697 is 1/11849.