Greatest Common Factor of 165/56, 345/73, 556/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 165/56, 345/73, 556/164

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 165/56,345/73,556/164

Given fractions are 165/56,345/73,556/164

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 165,345,556

Greatest Common Factor of Numerators i.e. GCF of 165,345,556 is 1 .

LCM of Denominators means LCM of 56,73,164 as per the given fractions.

LCM of 56,73,164 is 167608 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 165,345,556

GCF of Fractions 165/56,345/73,556/164 is 1/167608

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

Greatest Common Factor of 165,345,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,345,556 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors 165,345,556 . The biggest common factor number is the GCF number.
So the greatest common factor 165,345,556 is 1.

Lets's calculate LCM of 56,73,164

2 56, 73, 164
2 28, 73, 82
14, 73, 41

∴ So the LCM of the given numbers is 2 x 2 x 14 x 73 x 41 = 167608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167608

Therefore, the GCF of Fractions 165/56,345/73,556/164 is 1/167608

Least Common Multiple of 56,73,164 with GCF Formula

Least Common Multiple of 56,73,164 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 56,73,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,73,164) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(56,73,164) x common factors =1 x 4 = 4

LCM(56,73,164) = ( 56 × 73 × 164 ) / 4

LCM(56,73,164) = 670432 / 4

LCM(56,73,164) = 167608


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 165/56, 345/73, 556/164

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 165/56, 345/73, 556/164?

Answer: GCF of Numerators as per given numbers 165/56, 345/73, 556/164 is

GCF of Numerators i.e. for 165,345,556 is 1

LCM of denominators i.e. for 56,73,164 is 167608.

Thus, GCF of Fractions is 1/167608.Finally, GCF of Fractions for 165/56, 345/73, 556/164 is 1/167608.