Greatest Common Factor of 9/40, 29/44, 84/487, 189/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/40, 29/44, 84/487, 189/644

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 9/40,29/44,84/487,189/644

Given fractions are 9/40,29/44,84/487,189/644

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 9,29,84,189

Greatest Common Factor of Numerators i.e. GCF of 9,29,84,189 is 1 .

LCM of Denominators means LCM of 40,44,487,644 as per the given fractions.

LCM of 40,44,487,644 is 34499080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,29,84,189

GCF of Fractions 9/40,29/44,84/487,189/644 is 1/34499080

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

Greatest Common Factor of 9,29,84,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,29,84,189 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 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 9,29,84,189 . The biggest common factor number is the GCF number.
So the greatest common factor 9,29,84,189 is 1.

Lets's calculate LCM of 40,44,487,644

2 40, 44, 487, 644
2 20, 22, 487, 322
10, 11, 487, 161

∴ So the LCM of the given numbers is 2 x 2 x 10 x 11 x 487 x 161 = 34499080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34499080

Therefore, the GCF of Fractions 9/40,29/44,84/487,189/644 is 1/34499080

Least Common Multiple of 40,44,487,644 with GCF Formula

Least Common Multiple of 40,44,487,644 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 40,44,487,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,44,487,644) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(40,44,487,644) x common factors =1 x 16 = 16

LCM(40,44,487,644) = ( 40 × 44 × 487 × 644 ) / 16

LCM(40,44,487,644) = 551985280 / 16

LCM(40,44,487,644) = 34499080


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 9/40, 29/44, 84/487, 189/644

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 9/40, 29/44, 84/487, 189/644?

Answer: GCF of Numerators as per given numbers 9/40, 29/44, 84/487, 189/644 is

GCF of Numerators i.e. for 9,29,84,189 is 1

LCM of denominators i.e. for 40,44,487,644 is 34499080.

Thus, GCF of Fractions is 1/34499080.Finally, GCF of Fractions for 9/40, 29/44, 84/487, 189/644 is 1/34499080.