Greatest Common Factor of 693/54, 195/87, 453/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 693/54, 195/87, 453/224

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 693/54,195/87,453/224

Given fractions are 693/54,195/87,453/224

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 693,195,453

Greatest Common Factor of Numerators i.e. GCF of 693,195,453 is 3 .

LCM of Denominators means LCM of 54,87,224 as per the given fractions.

LCM of 54,87,224 is 175392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 693,195,453

GCF of Fractions 693/54,195/87,453/224 is 3/175392

3 693, 195, 453
231, 65, 151

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

Greatest Common Factor of 693,195,453 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,195,453 By Matching Biggest Common Factor Method

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Greatest Common Factor

We found the factors 693,195,453 . The biggest common factor number is the GCF number.
So the greatest common factor 693,195,453 is 3.

Lets's calculate LCM of 54,87,224

2 54, 87, 224
3 27, 87, 112
9, 29, 112

∴ So the LCM of the given numbers is 2 x 3 x 9 x 29 x 112 = 175392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/175392

Therefore, the GCF of Fractions 693/54,195/87,453/224 is 3/175392

Least Common Multiple of 54,87,224 with GCF Formula

Least Common Multiple of 54,87,224 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 54,87,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,87,224) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(54,87,224) x common factors =1 x 6 = 6

LCM(54,87,224) = ( 54 × 87 × 224 ) / 6

LCM(54,87,224) = 1052352 / 6

LCM(54,87,224) = 175392


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 693/54, 195/87, 453/224

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 693/54, 195/87, 453/224?

Answer: GCF of Numerators as per given numbers 693/54, 195/87, 453/224 is

GCF of Numerators i.e. for 693,195,453 is 3

LCM of denominators i.e. for 54,87,224 is 175392.

Thus, GCF of Fractions is 3/175392.Finally, GCF of Fractions for 693/54, 195/87, 453/224 is 3/175392.