Greatest Common Factor of 9/62, 36/43, 69/414, 546/557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/62, 36/43, 69/414, 546/557

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 9/62,36/43,69/414,546/557

Given fractions are 9/62,36/43,69/414,546/557

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 9,36,69,546

Greatest Common Factor of Numerators i.e. GCF of 9,36,69,546 is 3 .

LCM of Denominators means LCM of 62,43,414,557 as per the given fractions.

LCM of 62,43,414,557 is 307387134 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,36,69,546

GCF of Fractions 9/62,36/43,69/414,546/557 is 3/307387134

3 9, 36, 69, 546
3, 12, 23, 182

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

Greatest Common Factor of 9,36,69,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,36,69,546 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 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 69

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

1,3,23,69

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 9,36,69,546 . The biggest common factor number is the GCF number.
So the greatest common factor 9,36,69,546 is 3.

Lets's calculate LCM of 62,43,414,557

2 62, 43, 414, 557
31, 43, 207, 557

∴ So the LCM of the given numbers is 2 x 31 x 43 x 207 x 557 = 307387134

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/307387134

Therefore, the GCF of Fractions 9/62,36/43,69/414,546/557 is 3/307387134

Least Common Multiple of 62,43,414,557 with GCF Formula

Least Common Multiple of 62,43,414,557 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 62,43,414,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,43,414,557) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(62,43,414,557) x common factors =1 x 2 = 2

LCM(62,43,414,557) = ( 62 × 43 × 414 × 557 ) / 2

LCM(62,43,414,557) = 614774268 / 2

LCM(62,43,414,557) = 307387134


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 9/62, 36/43, 69/414, 546/557

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 9/62, 36/43, 69/414, 546/557?

Answer: GCF of Numerators as per given numbers 9/62, 36/43, 69/414, 546/557 is

GCF of Numerators i.e. for 9,36,69,546 is 3

LCM of denominators i.e. for 62,43,414,557 is 307387134.

Thus, GCF of Fractions is 3/307387134.Finally, GCF of Fractions for 9/62, 36/43, 69/414, 546/557 is 3/307387134.