Greatest Common Factor of 9/29, 22/80, 63/230, 867/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/29, 22/80, 63/230, 867/672

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 9/29,22/80,63/230,867/672

Given fractions are 9/29,22/80,63/230,867/672

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 9,22,63,867

Greatest Common Factor of Numerators i.e. GCF of 9,22,63,867 is 1 .

LCM of Denominators means LCM of 29,80,230,672 as per the given fractions.

LCM of 29,80,230,672 is 2241120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,22,63,867

GCF of Fractions 9/29,22/80,63/230,867/672 is 1/2241120

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

Greatest Common Factor of 9,22,63,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,22,63,867 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 9,22,63,867 . The biggest common factor number is the GCF number.
So the greatest common factor 9,22,63,867 is 1.

Lets's calculate LCM of 29,80,230,672

2 29, 80, 230, 672
2 29, 40, 115, 336
2 29, 20, 115, 168
2 29, 10, 115, 84
5 29, 5, 115, 42
29, 1, 23, 42

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 29 x 1 x 23 x 42 = 2241120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2241120

Therefore, the GCF of Fractions 9/29,22/80,63/230,867/672 is 1/2241120

Least Common Multiple of 29,80,230,672 with GCF Formula

Least Common Multiple of 29,80,230,672 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 29,80,230,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,80,230,672) = 1

common factors(in case of two or more numbers have common factors) = 160

GCF(29,80,230,672) x common factors =1 x 160 = 160

LCM(29,80,230,672) = ( 29 × 80 × 230 × 672 ) / 160

LCM(29,80,230,672) = 358579200 / 160

LCM(29,80,230,672) = 2241120


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 9/29, 22/80, 63/230, 867/672

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 9/29, 22/80, 63/230, 867/672?

Answer: GCF of Numerators as per given numbers 9/29, 22/80, 63/230, 867/672 is

GCF of Numerators i.e. for 9,22,63,867 is 1

LCM of denominators i.e. for 29,80,230,672 is 2241120.

Thus, GCF of Fractions is 1/2241120.Finally, GCF of Fractions for 9/29, 22/80, 63/230, 867/672 is 1/2241120.