How to Find GCF of 27/23, 910/37, 659/253?

GCF of 27/23, 910/37, 659/253

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 27/23, 910/37, 659/253 i.e 1/9361 easily. The following is the detailed procedure to determine the greatest common factor of fractions 27/23, 910/37, 659/253.

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 27/23,910/37,659/253?

Given fractions are 27/23,910/37,659/253

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 27/23,910/37,659/253, numerators are 27,910,659

Denominators are 23,37,253

The GCF of 27,910,659 is 1 .

LCM of 23,37,253 is 9361.

The greatest common factor of 27/23,910/37,659/253 = [GCF of 27,910,659]/[LCM of 23,37,253]= 1/9361

Therefore, the GCF of 27/23,910/37,659/253 is 1/9361.

Greatest Common Factor of 27,910,659

To find the highest common factor of 27,910,659, we have to find the factors of both numbers and list the highest common factor.

The factors of 27 are 1, 3, 9, 27

The factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

The factors of 659 are 1, 659

The HCF of 27,910,659 is 1.

Lets's calculate GCF of 27,910,659

Greatest Common Factor (GCF) of 27,910,659 By Common Division

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

Greatest Common Factor of 27,910,659 By Matching Biggest Common Factor Method

Now, list down the factors of 27

1,3,9,27

Now, list down the factors of 910

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Now, list down the factors of 659

1,659

Greatest Common Factor

We found the factors 27,910,659 . The biggest common factor number is the GCF number.
So the greatest common factor 27,910,659 is 1.

Lets's calculate LCM of 23,37,253

Lowest Common Multiple of 23,37,253 using Common Division

23	23, 37, 253
	1, 37, 11

∴ So the LCM of the given numbers is 23 x 1 x 37 x 11 = 9361

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9361

Therefore, the GCF of Fractions 27/23,910/37,659/253 is 1/9361

Least Common Multiple of 23,37,253 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 23,37,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,37,253) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(23,37,253) x common factors =1 x 23 = 23

LCM(23,37,253) = ( 23 × 37 × 253 ) / 23

LCM(23,37,253) = 215303 / 23

LCM(23,37,253) = 9361

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 27/23, 910/37, 659/253

1. What is the HCF of 27,910,659?

The HCF of 27,910,659 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 27/23, 910/37, 659/253?

Answer: GCF of Numerators as per given numbers 27/23, 910/37, 659/253 is

GCF of Numerators i.e. for 27,910,659 is 1

LCM of denominators i.e. for 23,37,253 is 9361.

Thus, GCF of Fractions is 1/9361.Finally, GCF of Fractions for 27/23, 910/37, 659/253 is 1/9361.