Greatest Common Factor of 1/94, 21/41, 75/768, 519/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/94, 21/41, 75/768, 519/193

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 1/94,21/41,75/768,519/193

Given fractions are 1/94,21/41,75/768,519/193

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 1,21,75,519

Greatest Common Factor of Numerators i.e. GCF of 1,21,75,519 is 1 .

LCM of Denominators means LCM of 94,41,768,193 as per the given fractions.

LCM of 94,41,768,193 is 285627648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,21,75,519

GCF of Fractions 1/94,21/41,75/768,519/193 is 1/285627648

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

Greatest Common Factor of 1,21,75,519 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,21,75,519 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 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 75

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

1,3,5,15,25,75

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Greatest Common Factor

We found the factors 1,21,75,519 . The biggest common factor number is the GCF number.
So the greatest common factor 1,21,75,519 is 1.

Lets's calculate LCM of 94,41,768,193

2 94, 41, 768, 193
47, 41, 384, 193

∴ So the LCM of the given numbers is 2 x 47 x 41 x 384 x 193 = 285627648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/285627648

Therefore, the GCF of Fractions 1/94,21/41,75/768,519/193 is 1/285627648

Least Common Multiple of 94,41,768,193 with GCF Formula

Least Common Multiple of 94,41,768,193 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 94,41,768,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,41,768,193) = 1

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

GCF(94,41,768,193) x common factors =1 x 2 = 2

LCM(94,41,768,193) = ( 94 × 41 × 768 × 193 ) / 2

LCM(94,41,768,193) = 571255296 / 2

LCM(94,41,768,193) = 285627648


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 1/94, 21/41, 75/768, 519/193

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 1/94, 21/41, 75/768, 519/193?

Answer: GCF of Numerators as per given numbers 1/94, 21/41, 75/768, 519/193 is

GCF of Numerators i.e. for 1,21,75,519 is 1

LCM of denominators i.e. for 94,41,768,193 is 285627648.

Thus, GCF of Fractions is 1/285627648.Finally, GCF of Fractions for 1/94, 21/41, 75/768, 519/193 is 1/285627648.