Greatest Common Factor of 194/42, 657/72, 427/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 194/42, 657/72, 427/963

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 194/42,657/72,427/963

Given fractions are 194/42,657/72,427/963

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 194,657,427

Greatest Common Factor of Numerators i.e. GCF of 194,657,427 is 1 .

LCM of Denominators means LCM of 42,72,963 as per the given fractions.

LCM of 42,72,963 is 53928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 194,657,427

GCF of Fractions 194/42,657/72,427/963 is 1/53928

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

Greatest Common Factor of 194,657,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,657,427 By Matching Biggest Common Factor Method

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 194,657,427 . The biggest common factor number is the GCF number.
So the greatest common factor 194,657,427 is 1.

Lets's calculate LCM of 42,72,963

2 42, 72, 963
3 21, 36, 963
3 7, 12, 321
7, 4, 107

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 4 x 107 = 53928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53928

Therefore, the GCF of Fractions 194/42,657/72,427/963 is 1/53928

Least Common Multiple of 42,72,963 with GCF Formula

Least Common Multiple of 42,72,963 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 42,72,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,72,963) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(42,72,963) x common factors =3 x 18 = 54

LCM(42,72,963) = ( 42 × 72 × 963 ) / 54

LCM(42,72,963) = 2912112 / 54

LCM(42,72,963) = 53928


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 194/42, 657/72, 427/963

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 194/42, 657/72, 427/963?

Answer: GCF of Numerators as per given numbers 194/42, 657/72, 427/963 is

GCF of Numerators i.e. for 194,657,427 is 1

LCM of denominators i.e. for 42,72,963 is 53928.

Thus, GCF of Fractions is 1/53928.Finally, GCF of Fractions for 194/42, 657/72, 427/963 is 1/53928.