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GCF of 596/320, 285/115

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 596/320, 285/115 i.e 1/7360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 596/320, 285/115.

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 596/320,285/115?

Given fractions are 596/320,285/115

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 596/320,285/115, numerators are 596,285

Denominators are 320,115

The GCF of 596,285 is 1 .

LCM of 320,115 is 7360.

The greatest common factor of 596/320,285/115 = [GCF of 596,285]/[LCM of 320,115]= 1/7360

Therefore, the GCF of 596/320,285/115 is 1/7360.

Greatest Common Factor of 596,285

To find the highest common factor of 596,285, we have to find the factors of both numbers and list the highest common factor.

The factors of 596 are 1, 2, 4, 149, 298, 596

The factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285

The HCF of 596,285 is 1.

Lets's calculate GCF of 596,285

Greatest Common Factor (GCF) of 596,285 By Common Division

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

Greatest Common Factor of 596,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,285 By Matching Biggest Common Factor Method

Now, list down the factors of 596

:

1,2,4,149,298,596

Now, list down the factors of 285

:

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 596,285 . The biggest common factor number is the GCF number.
So the greatest common factor 596,285 is 1.

Lets's calculate LCM of 320,115

Lowest Common Multiple of 320,115 using Common Division

5 320, 115
64, 23

∴ So the LCM of the given numbers is 5 x 64 x 23 = 7360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7360

Therefore, the GCF of Fractions 596/320,285/115 is 1/7360

Least Common Multiple of 320,115 with GCF Formula

Least Common Multiple of 320,115 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 320,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,115) = 5

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

GCF(320,115) x common factors =5 x 1 = 5

LCM(320,115) = ( 320 × 115 ) / 5

LCM(320,115) = 36800 / 5

LCM(320,115) = 7360


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FAQs on GCF of Fractions of 596/320, 285/115

1. What is the HCF of 596,285?

The HCF of 596,285 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 596/320, 285/115?

Answer: GCF of Numerators as per given numbers 596/320, 285/115 is

GCF of Numerators i.e. for 596,285 is 1

LCM of denominators i.e. for 320,115 is 7360.

Thus, GCF of Fractions is 1/7360.Finally, GCF of Fractions for 596/320, 285/115 is 1/7360.