Greatest Common Factor of 178/29, 7454/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 178/29, 7454/754

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 178/29,7454/754

Given fractions are 178/29,7454/754

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 178,7454

Greatest Common Factor of Numerators i.e. GCF of 178,7454 is 2 .

LCM of Denominators means LCM of 29,754 as per the given fractions.

LCM of 29,754 is 754 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 178,7454

GCF of Fractions 178/29,7454/754 is 2/754

2 178, 7454
89, 3727

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 178,7454 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,7454 By Matching Biggest Common Factor Method

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 7454

List of positive integer factors of 7454 that divides 7454 without a remainder.

1,2,3727,7454

Greatest Common Factor

We found the factors 178,7454 . The biggest common factor number is the GCF number.
So the greatest common factor 178,7454 is 2.

Lets's calculate LCM of 29,754

29 29, 754
1, 26

∴ So the LCM of the given numbers is 29 x 1 x 26 = 754

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/754

Therefore, the GCF of Fractions 178/29,7454/754 is 2/754

Least Common Multiple of 29,754 with GCF Formula

Least Common Multiple of 29,754 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 29,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,754) = 29

common factors(in case of two or more numbers have common factors) = 1

GCF(29,754) x common factors =29 x 1 = 29

LCM(29,754) = ( 29 × 754 ) / 29

LCM(29,754) = 21866 / 29

LCM(29,754) = 754


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 178/29, 7454/754

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 178/29, 7454/754?

Answer: GCF of Numerators as per given numbers 178/29, 7454/754 is

GCF of Numerators i.e. for 178,7454 is 2

LCM of denominators i.e. for 29,754 is 754.

Thus, GCF of Fractions is 2/754.Finally, GCF of Fractions for 178/29, 7454/754 is 2/754.