Greatest Common Factor of 9/21, 99/64, 17/136, 354/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/21, 99/64, 17/136, 354/546

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 9/21,99/64,17/136,354/546

Given fractions are 9/21,99/64,17/136,354/546

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 9,99,17,354

Greatest Common Factor of Numerators i.e. GCF of 9,99,17,354 is 1 .

LCM of Denominators means LCM of 21,64,136,546 as per the given fractions.

LCM of 21,64,136,546 is 297024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,99,17,354

GCF of Fractions 9/21,99/64,17/136,354/546 is 1/297024

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

Greatest Common Factor of 9,99,17,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,99,17,354 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 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 9,99,17,354 . The biggest common factor number is the GCF number.
So the greatest common factor 9,99,17,354 is 1.

Lets's calculate LCM of 21,64,136,546

2 21, 64, 136, 546
2 21, 32, 68, 273
2 21, 16, 34, 273
3 21, 8, 17, 273
7 7, 8, 17, 91
1, 8, 17, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 1 x 8 x 17 x 13 = 297024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/297024

Therefore, the GCF of Fractions 9/21,99/64,17/136,354/546 is 1/297024

Least Common Multiple of 21,64,136,546 with GCF Formula

Least Common Multiple of 21,64,136,546 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 21,64,136,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,64,136,546) = 1

common factors(in case of two or more numbers have common factors) = 336

GCF(21,64,136,546) x common factors =1 x 336 = 336

LCM(21,64,136,546) = ( 21 × 64 × 136 × 546 ) / 336

LCM(21,64,136,546) = 99800064 / 336

LCM(21,64,136,546) = 297024


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 9/21, 99/64, 17/136, 354/546

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 9/21, 99/64, 17/136, 354/546?

Answer: GCF of Numerators as per given numbers 9/21, 99/64, 17/136, 354/546 is

GCF of Numerators i.e. for 9,99,17,354 is 1

LCM of denominators i.e. for 21,64,136,546 is 297024.

Thus, GCF of Fractions is 1/297024.Finally, GCF of Fractions for 9/21, 99/64, 17/136, 354/546 is 1/297024.