Greatest Common Factor of 69/19, 21/84, 273/97

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/19, 21/84, 273/97

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 69/19,21/84,273/97

Given fractions are 69/19,21/84,273/97

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 69,21,273

Greatest Common Factor of Numerators i.e. GCF of 69,21,273 is 3 .

LCM of Denominators means LCM of 19,84,97 as per the given fractions.

LCM of 19,84,97 is 154812 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,21,273

GCF of Fractions 69/19,21/84,273/97 is 3/154812

3 69, 21, 273
23, 7, 91

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

Greatest Common Factor of 69,21,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,21,273 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 69,21,273 . The biggest common factor number is the GCF number.
So the greatest common factor 69,21,273 is 3.

Lets's calculate LCM of 19,84,97

Given numbers has no common factors except 1. So, there LCM is their product i.e 154812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/154812

Therefore, the GCF of Fractions 69/19,21/84,273/97 is 3/154812

Least Common Multiple of 19,84,97 with GCF Formula

Least Common Multiple of 19,84,97 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 19,84,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,84,97) = 1

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

GCF(19,84,97) x common factors =1 x 1 = 1

LCM(19,84,97) = ( 19 × 84 × 97 ) / 1

LCM(19,84,97) = 154812 / 1

LCM(19,84,97) = 154812


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 69/19, 21/84, 273/97

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 69/19, 21/84, 273/97?

Answer: GCF of Numerators as per given numbers 69/19, 21/84, 273/97 is

GCF of Numerators i.e. for 69,21,273 is 3

LCM of denominators i.e. for 19,84,97 is 154812.

Thus, GCF of Fractions is 3/154812.Finally, GCF of Fractions for 69/19, 21/84, 273/97 is 3/154812.