Greatest Common Factor of 173/44, 524/96, 649/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 173/44, 524/96, 649/218

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 173/44,524/96,649/218

Given fractions are 173/44,524/96,649/218

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 173,524,649

Greatest Common Factor of Numerators i.e. GCF of 173,524,649 is 1 .

LCM of Denominators means LCM of 44,96,218 as per the given fractions.

LCM of 44,96,218 is 115104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 173,524,649

GCF of Fractions 173/44,524/96,649/218 is 1/115104

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

Greatest Common Factor of 173,524,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 173,524,649 By Matching Biggest Common Factor Method

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 173,524,649 . The biggest common factor number is the GCF number.
So the greatest common factor 173,524,649 is 1.

Lets's calculate LCM of 44,96,218

2 44, 96, 218
2 22, 48, 109
11, 24, 109

∴ So the LCM of the given numbers is 2 x 2 x 11 x 24 x 109 = 115104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115104

Therefore, the GCF of Fractions 173/44,524/96,649/218 is 1/115104

Least Common Multiple of 44,96,218 with GCF Formula

Least Common Multiple of 44,96,218 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 44,96,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,96,218) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(44,96,218) x common factors =2 x 4 = 8

LCM(44,96,218) = ( 44 × 96 × 218 ) / 8

LCM(44,96,218) = 920832 / 8

LCM(44,96,218) = 115104


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 173/44, 524/96, 649/218

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 173/44, 524/96, 649/218?

Answer: GCF of Numerators as per given numbers 173/44, 524/96, 649/218 is

GCF of Numerators i.e. for 173,524,649 is 1

LCM of denominators i.e. for 44,96,218 is 115104.

Thus, GCF of Fractions is 1/115104.Finally, GCF of Fractions for 173/44, 524/96, 649/218 is 1/115104.