Greatest Common Factor of 82/178, 984/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 82/178, 984/327

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 82/178,984/327

Given fractions are 82/178,984/327

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 82,984

Greatest Common Factor of Numerators i.e. GCF of 82,984 is 82 .

LCM of Denominators means LCM of 178,327 as per the given fractions.

LCM of 178,327 is 58206 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 82,984

GCF of Fractions 82/178,984/327 is 82/58206

2 82, 984
41 41, 492
1, 12

∴ So the GCF of the given numbers is 2 x 41 = 82

Greatest Common Factor of 82,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,984 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 82,984 . The biggest common factor number is the GCF number.
So the greatest common factor 82,984 is 82.

Lets's calculate LCM of 178,327

Given numbers has no common factors except 1. So, there LCM is their product i.e 58206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 82/58206

Therefore, the GCF of Fractions 82/178,984/327 is 82/58206

Least Common Multiple of 178,327 with GCF Formula

Least Common Multiple of 178,327 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 178,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,327) = 1

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

GCF(178,327) x common factors =1 x 1 = 1

LCM(178,327) = ( 178 × 327 ) / 1

LCM(178,327) = 58206 / 1

LCM(178,327) = 58206


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 82/178, 984/327

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 82/178, 984/327?

Answer: GCF of Numerators as per given numbers 82/178, 984/327 is

GCF of Numerators i.e. for 82,984 is 82

LCM of denominators i.e. for 178,327 is 58206.

Thus, GCF of Fractions is 82/58206.Finally, GCF of Fractions for 82/178, 984/327 is 82/58206.