Greatest Common Factor of 178/411, 7004/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 178/411, 7004/177

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 178/411,7004/177

Given fractions are 178/411,7004/177

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 178,7004

Greatest Common Factor of Numerators i.e. GCF of 178,7004 is 2 .

LCM of Denominators means LCM of 411,177 as per the given fractions.

LCM of 411,177 is 24249 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 178,7004

GCF of Fractions 178/411,7004/177 is 2/24249

2 178, 7004
89, 3502

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

Greatest Common Factor of 178,7004 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,7004 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 7004

List of positive integer factors of 7004 that divides 7004 without a remainder.

1,2,4,17,34,68,103,206,412,1751,3502,7004

Greatest Common Factor

We found the factors 178,7004 . The biggest common factor number is the GCF number.
So the greatest common factor 178,7004 is 2.

Lets's calculate LCM of 411,177

3 411, 177
137, 59

∴ So the LCM of the given numbers is 3 x 137 x 59 = 24249

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24249

Therefore, the GCF of Fractions 178/411,7004/177 is 2/24249

Least Common Multiple of 411,177 with GCF Formula

Least Common Multiple of 411,177 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 411,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(411,177) = 3

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

GCF(411,177) x common factors =3 x 1 = 3

LCM(411,177) = ( 411 × 177 ) / 3

LCM(411,177) = 72747 / 3

LCM(411,177) = 24249


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 178/411, 7004/177

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 178/411, 7004/177?

Answer: GCF of Numerators as per given numbers 178/411, 7004/177 is

GCF of Numerators i.e. for 178,7004 is 2

LCM of denominators i.e. for 411,177 is 24249.

Thus, GCF of Fractions is 2/24249.Finally, GCF of Fractions for 178/411, 7004/177 is 2/24249.