Greatest Common Factor of 651/99, 204/18, 673/71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 651/99, 204/18, 673/71

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 651/99,204/18,673/71

Given fractions are 651/99,204/18,673/71

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 651,204,673

Greatest Common Factor of Numerators i.e. GCF of 651,204,673 is 1 .

LCM of Denominators means LCM of 99,18,71 as per the given fractions.

LCM of 99,18,71 is 14058 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 651,204,673

GCF of Fractions 651/99,204/18,673/71 is 1/14058

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

Greatest Common Factor of 651,204,673 By Matching Biggest Common Factor Method

Greatest Common Factor of 651,204,673 By Matching Biggest Common Factor Method

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Greatest Common Factor

We found the factors 651,204,673 . The biggest common factor number is the GCF number.
So the greatest common factor 651,204,673 is 1.

Lets's calculate LCM of 99,18,71

3 99, 18, 71
3 33, 6, 71
11, 2, 71

∴ So the LCM of the given numbers is 3 x 3 x 11 x 2 x 71 = 14058

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14058

Therefore, the GCF of Fractions 651/99,204/18,673/71 is 1/14058

Least Common Multiple of 99,18,71 with GCF Formula

Least Common Multiple of 99,18,71 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 99,18,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,18,71) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(99,18,71) x common factors =1 x 9 = 9

LCM(99,18,71) = ( 99 × 18 × 71 ) / 9

LCM(99,18,71) = 126522 / 9

LCM(99,18,71) = 14058


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 651/99, 204/18, 673/71

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 651/99, 204/18, 673/71?

Answer: GCF of Numerators as per given numbers 651/99, 204/18, 673/71 is

GCF of Numerators i.e. for 651,204,673 is 1

LCM of denominators i.e. for 99,18,71 is 14058.

Thus, GCF of Fractions is 1/14058.Finally, GCF of Fractions for 651/99, 204/18, 673/71 is 1/14058.