Greatest Common Factor of 524/97, 294/82, 822/27

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 524/97, 294/82, 822/27

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 524/97,294/82,822/27

Given fractions are 524/97,294/82,822/27

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 524,294,822

Greatest Common Factor of Numerators i.e. GCF of 524,294,822 is 2 .

LCM of Denominators means LCM of 97,82,27 as per the given fractions.

LCM of 97,82,27 is 214758 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 524,294,822

GCF of Fractions 524/97,294/82,822/27 is 2/214758

2 524, 294, 822
262, 147, 411

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 524,294,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,294,822 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 524,294,822 . The biggest common factor number is the GCF number.
So the greatest common factor 524,294,822 is 2.


Lets's calculate LCM of 97,82,27

Given numbers has no common factors except 1. So, there LCM is their product i.e 214758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/214758

Therefore, the GCF of Fractions 524/97,294/82,822/27 is 2/214758

Least Common Multiple of 97,82,27 with GCF Formula

Least Common Multiple of 97,82,27 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 97,82,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,82,27) = 1

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

GCF(97,82,27) x common factors =1 x 1 = 1

LCM(97,82,27) = ( 97 × 82 × 27 ) / 1

LCM(97,82,27) = 214758 / 1

LCM(97,82,27) = 214758


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 524/97, 294/82, 822/27

1. 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.

2. What is the GCF of Fractions for 524/97, 294/82, 822/27?

Answer: GCF of Numerators as per given numbers 524/97, 294/82, 822/27 is

GCF of Numerators i.e. for 524,294,822 is 2

LCM of denominators i.e. for 97,82,27 is 214758.

Thus, GCF of Fractions is 2/214758.Finally, GCF of Fractions for 524/97, 294/82, 822/27 is 2/214758.