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GCF of 9039/596, 9327/232

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 9039/596, 9327/232 i.e 3/34568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9039/596, 9327/232.

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 9039/596,9327/232?

Given fractions are 9039/596,9327/232

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 9039/596,9327/232, numerators are 9039,9327

Denominators are 596,232

The GCF of 9039,9327 is 3 .

LCM of 596,232 is 34568.

The greatest common factor of 9039/596,9327/232 = [GCF of 9039,9327]/[LCM of 596,232]= 3/34568

Therefore, the GCF of 9039/596,9327/232 is 3/34568.

Greatest Common Factor of 9039,9327

To find the highest common factor of 9039,9327, we have to find the factors of both numbers and list the highest common factor.

The factors of 9039 are 1, 3, 23, 69, 131, 393, 3013, 9039

The factors of 9327 are 1, 3, 3109, 9327

The HCF of 9039,9327 is 3.

Lets's calculate GCF of 9039,9327

Greatest Common Factor (GCF) of 9039,9327 By Common Division

3 9039, 9327
3013, 3109

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9039,9327 By Matching Biggest Common Factor Method

Greatest Common Factor of 9039,9327 By Matching Biggest Common Factor Method

Now, list down the factors of 9039

:

1,3,23,69,131,393,3013,9039

Now, list down the factors of 9327

:

1,3,3109,9327

Greatest Common Factor

We found the factors 9039,9327 . The biggest common factor number is the GCF number.
So the greatest common factor 9039,9327 is 3.

Lets's calculate LCM of 596,232

Lowest Common Multiple of 596,232 using Common Division

2 596, 232
2 298, 116
149, 58

∴ So the LCM of the given numbers is 2 x 2 x 149 x 58 = 34568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/34568

Therefore, the GCF of Fractions 9039/596,9327/232 is 3/34568

Least Common Multiple of 596,232 with GCF Formula

Least Common Multiple of 596,232 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 596,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,232) = 4

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

GCF(596,232) x common factors =4 x 1 = 4

LCM(596,232) = ( 596 × 232 ) / 4

LCM(596,232) = 138272 / 4

LCM(596,232) = 34568


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FAQs on GCF of Fractions of 9039/596, 9327/232

1. What is the HCF of 9039,9327?

The HCF of 9039,9327 is 3

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 9039/596, 9327/232?

Answer: GCF of Numerators as per given numbers 9039/596, 9327/232 is

GCF of Numerators i.e. for 9039,9327 is 3

LCM of denominators i.e. for 596,232 is 34568.

Thus, GCF of Fractions is 3/34568.Finally, GCF of Fractions for 9039/596, 9327/232 is 3/34568.