Greatest Common Factor of 182/95, 405/31, 169/529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 182/95, 405/31, 169/529

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 182/95,405/31,169/529

Given fractions are 182/95,405/31,169/529

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 182,405,169

Greatest Common Factor of Numerators i.e. GCF of 182,405,169 is 1 .

LCM of Denominators means LCM of 95,31,529 as per the given fractions.

LCM of 95,31,529 is 1557905 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 182,405,169

GCF of Fractions 182/95,405/31,169/529 is 1/1557905

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

Greatest Common Factor of 182,405,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,405,169 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 182,405,169 . The biggest common factor number is the GCF number.
So the greatest common factor 182,405,169 is 1.

Lets's calculate LCM of 95,31,529

Given numbers has no common factors except 1. So, there LCM is their product i.e 1557905

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1557905

Therefore, the GCF of Fractions 182/95,405/31,169/529 is 1/1557905

Least Common Multiple of 95,31,529 with GCF Formula

Least Common Multiple of 95,31,529 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 95,31,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,31,529) = 1

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

GCF(95,31,529) x common factors =1 x 1 = 1

LCM(95,31,529) = ( 95 × 31 × 529 ) / 1

LCM(95,31,529) = 1557905 / 1

LCM(95,31,529) = 1557905


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 182/95, 405/31, 169/529

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 182/95, 405/31, 169/529?

Answer: GCF of Numerators as per given numbers 182/95, 405/31, 169/529 is

GCF of Numerators i.e. for 182,405,169 is 1

LCM of denominators i.e. for 95,31,529 is 1557905.

Thus, GCF of Fractions is 1/1557905.Finally, GCF of Fractions for 182/95, 405/31, 169/529 is 1/1557905.