Greatest Common Factor of 9/44, 24/66, 17/234, 979/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/44, 24/66, 17/234, 979/546

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 9/44,24/66,17/234,979/546

Given fractions are 9/44,24/66,17/234,979/546

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 9,24,17,979

Greatest Common Factor of Numerators i.e. GCF of 9,24,17,979 is 1 .

LCM of Denominators means LCM of 44,66,234,546 as per the given fractions.

LCM of 44,66,234,546 is 36036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,24,17,979

GCF of Fractions 9/44,24/66,17/234,979/546 is 1/36036

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

Greatest Common Factor of 9,24,17,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,24,17,979 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 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 17

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

1,17

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors 9,24,17,979 . The biggest common factor number is the GCF number.
So the greatest common factor 9,24,17,979 is 1.

Lets's calculate LCM of 44,66,234,546

2 44, 66, 234, 546
3 22, 33, 117, 273
11 22, 11, 39, 91
13 2, 1, 39, 91
2, 1, 3, 7

∴ So the LCM of the given numbers is 2 x 3 x 11 x 13 x 2 x 1 x 3 x 7 = 36036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36036

Therefore, the GCF of Fractions 9/44,24/66,17/234,979/546 is 1/36036

Least Common Multiple of 44,66,234,546 with GCF Formula

Least Common Multiple of 44,66,234,546 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 44,66,234,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,66,234,546) = 2

common factors(in case of two or more numbers have common factors) = 5148

GCF(44,66,234,546) x common factors =2 x 5148 = 10296

LCM(44,66,234,546) = ( 44 × 66 × 234 × 546 ) / 10296

LCM(44,66,234,546) = 371026656 / 10296

LCM(44,66,234,546) = 36036


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 9/44, 24/66, 17/234, 979/546

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 9/44, 24/66, 17/234, 979/546?

Answer: GCF of Numerators as per given numbers 9/44, 24/66, 17/234, 979/546 is

GCF of Numerators i.e. for 9,24,17,979 is 1

LCM of denominators i.e. for 44,66,234,546 is 36036.

Thus, GCF of Fractions is 1/36036.Finally, GCF of Fractions for 9/44, 24/66, 17/234, 979/546 is 1/36036.