Greatest Common Factor of 457/164, 474/117, 123/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 457/164, 474/117, 123/738

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 457/164,474/117,123/738

Given fractions are 457/164,474/117,123/738

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 457,474,123

Greatest Common Factor of Numerators i.e. GCF of 457,474,123 is 1 .

LCM of Denominators means LCM of 164,117,738 as per the given fractions.

LCM of 164,117,738 is 19188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 457,474,123

GCF of Fractions 457/164,474/117,123/738 is 1/19188

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

Greatest Common Factor of 457,474,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,474,123 By Matching Biggest Common Factor Method

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 457,474,123 . The biggest common factor number is the GCF number.
So the greatest common factor 457,474,123 is 1.

Lets's calculate LCM of 164,117,738

2 164, 117, 738
3 82, 117, 369
3 82, 39, 123
41 82, 13, 41
2, 13, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 41 x 2 x 13 x 1 = 19188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19188

Therefore, the GCF of Fractions 457/164,474/117,123/738 is 1/19188

Least Common Multiple of 164,117,738 with GCF Formula

Least Common Multiple of 164,117,738 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 164,117,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,117,738) = 1

common factors(in case of two or more numbers have common factors) = 738

GCF(164,117,738) x common factors =1 x 738 = 738

LCM(164,117,738) = ( 164 × 117 × 738 ) / 738

LCM(164,117,738) = 14160744 / 738

LCM(164,117,738) = 19188


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 457/164, 474/117, 123/738

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 457/164, 474/117, 123/738?

Answer: GCF of Numerators as per given numbers 457/164, 474/117, 123/738 is

GCF of Numerators i.e. for 457,474,123 is 1

LCM of denominators i.e. for 164,117,738 is 19188.

Thus, GCF of Fractions is 1/19188.Finally, GCF of Fractions for 457/164, 474/117, 123/738 is 1/19188.