Greatest Common Factor of 9/542, 69/959, 30/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/542, 69/959, 30/686

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 9/542,69/959,30/686

Given fractions are 9/542,69/959,30/686

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 9,69,30

Greatest Common Factor of Numerators i.e. GCF of 9,69,30 is 3 .

LCM of Denominators means LCM of 542,959,686 as per the given fractions.

LCM of 542,959,686 is 25469122 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,69,30

GCF of Fractions 9/542,69/959,30/686 is 3/25469122

3 9, 69, 30
3, 23, 10

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

Greatest Common Factor of 9,69,30 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,69,30 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 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Greatest Common Factor

We found the factors 9,69,30 . The biggest common factor number is the GCF number.
So the greatest common factor 9,69,30 is 3.

Lets's calculate LCM of 542,959,686

2 542, 959, 686
7 271, 959, 343
271, 137, 49

∴ So the LCM of the given numbers is 2 x 7 x 271 x 137 x 49 = 25469122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/25469122

Therefore, the GCF of Fractions 9/542,69/959,30/686 is 3/25469122

Least Common Multiple of 542,959,686 with GCF Formula

Least Common Multiple of 542,959,686 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 542,959,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,959,686) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(542,959,686) x common factors =1 x 14 = 14

LCM(542,959,686) = ( 542 × 959 × 686 ) / 14

LCM(542,959,686) = 356567708 / 14

LCM(542,959,686) = 25469122


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9/542, 69/959, 30/686

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 9/542, 69/959, 30/686?

Answer: GCF of Numerators as per given numbers 9/542, 69/959, 30/686 is

GCF of Numerators i.e. for 9,69,30 is 3

LCM of denominators i.e. for 542,959,686 is 25469122.

Thus, GCF of Fractions is 3/25469122.Finally, GCF of Fractions for 9/542, 69/959, 30/686 is 3/25469122.