Greatest Common Factor of 1/19, 75/54, 24/888, 173/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/19, 75/54, 24/888, 173/241

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 1/19,75/54,24/888,173/241

Given fractions are 1/19,75/54,24/888,173/241

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 1,75,24,173

Greatest Common Factor of Numerators i.e. GCF of 1,75,24,173 is 1 .

LCM of Denominators means LCM of 19,54,888,241 as per the given fractions.

LCM of 19,54,888,241 is 36595368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,75,24,173

GCF of Fractions 1/19,75/54,24/888,173/241 is 1/36595368

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

Greatest Common Factor of 1,75,24,173 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,75,24,173 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

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 173

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

1,173

Greatest Common Factor

We found the factors 1,75,24,173 . The biggest common factor number is the GCF number.
So the greatest common factor 1,75,24,173 is 1.

Lets's calculate LCM of 19,54,888,241

2 19, 54, 888, 241
3 19, 27, 444, 241
19, 9, 148, 241

∴ So the LCM of the given numbers is 2 x 3 x 19 x 9 x 148 x 241 = 36595368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36595368

Therefore, the GCF of Fractions 1/19,75/54,24/888,173/241 is 1/36595368

Least Common Multiple of 19,54,888,241 with GCF Formula

Least Common Multiple of 19,54,888,241 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 19,54,888,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,54,888,241) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(19,54,888,241) x common factors =1 x 6 = 6

LCM(19,54,888,241) = ( 19 × 54 × 888 × 241 ) / 6

LCM(19,54,888,241) = 219572208 / 6

LCM(19,54,888,241) = 36595368


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 1/19, 75/54, 24/888, 173/241

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 1/19, 75/54, 24/888, 173/241?

Answer: GCF of Numerators as per given numbers 1/19, 75/54, 24/888, 173/241 is

GCF of Numerators i.e. for 1,75,24,173 is 1

LCM of denominators i.e. for 19,54,888,241 is 36595368.

Thus, GCF of Fractions is 1/36595368.Finally, GCF of Fractions for 1/19, 75/54, 24/888, 173/241 is 1/36595368.