Greatest Common Factor of 9/56, 96/37, 81/623, 609/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/56, 96/37, 81/623, 609/408

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 9/56,96/37,81/623,609/408

Given fractions are 9/56,96/37,81/623,609/408

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 9,96,81,609

Greatest Common Factor of Numerators i.e. GCF of 9,96,81,609 is 3 .

LCM of Denominators means LCM of 56,37,623,408 as per the given fractions.

LCM of 56,37,623,408 is 9404808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,96,81,609

GCF of Fractions 9/56,96/37,81/623,609/408 is 3/9404808

3 9, 96, 81, 609
3, 32, 27, 203

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

Greatest Common Factor of 9,96,81,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,96,81,609 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 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 9,96,81,609 . The biggest common factor number is the GCF number.
So the greatest common factor 9,96,81,609 is 3.

Lets's calculate LCM of 56,37,623,408

2 56, 37, 623, 408
2 28, 37, 623, 204
2 14, 37, 623, 102
7 7, 37, 623, 51
1, 37, 89, 51

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 37 x 89 x 51 = 9404808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9404808

Therefore, the GCF of Fractions 9/56,96/37,81/623,609/408 is 3/9404808

Least Common Multiple of 56,37,623,408 with GCF Formula

Least Common Multiple of 56,37,623,408 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 56,37,623,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,37,623,408) = 1

common factors(in case of two or more numbers have common factors) = 56

GCF(56,37,623,408) x common factors =1 x 56 = 56

LCM(56,37,623,408) = ( 56 × 37 × 623 × 408 ) / 56

LCM(56,37,623,408) = 526669248 / 56

LCM(56,37,623,408) = 9404808


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 9/56, 96/37, 81/623, 609/408

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 9/56, 96/37, 81/623, 609/408?

Answer: GCF of Numerators as per given numbers 9/56, 96/37, 81/623, 609/408 is

GCF of Numerators i.e. for 9,96,81,609 is 3

LCM of denominators i.e. for 56,37,623,408 is 9404808.

Thus, GCF of Fractions is 3/9404808.Finally, GCF of Fractions for 9/56, 96/37, 81/623, 609/408 is 3/9404808.