How to Find GCF of 261/26, 810/8599?

GCF of 261/26, 810/8599

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 261/26, 810/8599 i.e 9/223574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 261/26, 810/8599.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 261/26,810/8599?

Given fractions are 261/26,810/8599

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 261/26,810/8599, numerators are 261,810

Denominators are 26,8599

The GCF of 261,810 is 9 .

LCM of 26,8599 is 223574.

The greatest common factor of 261/26,810/8599 = [GCF of 261,810]/[LCM of 26,8599]= 9/223574

Therefore, the GCF of 261/26,810/8599 is 9/223574.

Greatest Common Factor of 261,810

To find the highest common factor of 261,810, we have to find the factors of both numbers and list the highest common factor.

The factors of 261 are 1, 3, 9, 29, 87, 261

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 261,810 is 9.

Lets's calculate GCF of 261,810

Greatest Common Factor (GCF) of 261,810 By Common Division

3	261, 810
3	87, 270
	29, 90

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 261,810 By Matching Biggest Common Factor Method

Now, list down the factors of 261

1,3,9,29,87,261

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 261,810 . The biggest common factor number is the GCF number.
So the greatest common factor 261,810 is 9.

Lets's calculate LCM of 26,8599

Lowest Common Multiple of 26,8599 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 223574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/223574

Therefore, the GCF of Fractions 261/26,810/8599 is 9/223574

Least Common Multiple of 26,8599 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 26,8599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,8599) = 1

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

GCF(26,8599) x common factors =1 x 1 = 1

LCM(26,8599) = ( 26 × 8599 ) / 1

LCM(26,8599) = 223574 / 1

LCM(26,8599) = 223574

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FAQs on GCF of Fractions of 261/26, 810/8599

1. What is the HCF of 261,810?

The HCF of 261,810 is 9

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 261/26, 810/8599?

Answer: GCF of Numerators as per given numbers 261/26, 810/8599 is

GCF of Numerators i.e. for 261,810 is 9

LCM of denominators i.e. for 26,8599 is 223574.

Thus, GCF of Fractions is 9/223574.Finally, GCF of Fractions for 261/26, 810/8599 is 9/223574.