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GCF of 597/23, 810/295

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 597/23, 810/295 i.e 3/6785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 597/23, 810/295.

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 597/23,810/295?

Given fractions are 597/23,810/295

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 597/23,810/295, numerators are 597,810

Denominators are 23,295

The GCF of 597,810 is 3 .

LCM of 23,295 is 6785.

The greatest common factor of 597/23,810/295 = [GCF of 597,810]/[LCM of 23,295]= 3/6785

Therefore, the GCF of 597/23,810/295 is 3/6785.

Greatest Common Factor of 597,810

To find the highest common factor of 597,810, we have to find the factors of both numbers and list the highest common factor.

The factors of 597 are 1, 3, 199, 597

The factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

The HCF of 597,810 is 3.

Lets's calculate GCF of 597,810

Greatest Common Factor (GCF) of 597,810 By Common Division

3 597, 810
199, 270

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

Greatest Common Factor of 597,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 597,810 By Matching Biggest Common Factor Method

Now, list down the factors of 597

:

1,3,199,597

Now, list down the factors of 810

:

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 597,810 . The biggest common factor number is the GCF number.
So the greatest common factor 597,810 is 3.

Lets's calculate LCM of 23,295

Lowest Common Multiple of 23,295 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6785

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6785

Therefore, the GCF of Fractions 597/23,810/295 is 3/6785

Least Common Multiple of 23,295 with GCF Formula

Least Common Multiple of 23,295 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 23,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,295) = 1

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

GCF(23,295) x common factors =1 x 1 = 1

LCM(23,295) = ( 23 × 295 ) / 1

LCM(23,295) = 6785 / 1

LCM(23,295) = 6785


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FAQs on GCF of Fractions of 597/23, 810/295

1. What is the HCF of 597,810?

The HCF of 597,810 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 597/23, 810/295?

Answer: GCF of Numerators as per given numbers 597/23, 810/295 is

GCF of Numerators i.e. for 597,810 is 3

LCM of denominators i.e. for 23,295 is 6785.

Thus, GCF of Fractions is 3/6785.Finally, GCF of Fractions for 597/23, 810/295 is 3/6785.