Greatest Common Factor of 112/66, 162/21, 465/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 112/66, 162/21, 465/723

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 112/66,162/21,465/723

Given fractions are 112/66,162/21,465/723

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 112,162,465

Greatest Common Factor of Numerators i.e. GCF of 112,162,465 is 1 .

LCM of Denominators means LCM of 66,21,723 as per the given fractions.

LCM of 66,21,723 is 111342 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 112,162,465

GCF of Fractions 112/66,162/21,465/723 is 1/111342

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

Greatest Common Factor of 112,162,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,162,465 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 112,162,465 . The biggest common factor number is the GCF number.
So the greatest common factor 112,162,465 is 1.

Lets's calculate LCM of 66,21,723

3 66, 21, 723
22, 7, 241

∴ So the LCM of the given numbers is 3 x 22 x 7 x 241 = 111342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111342

Therefore, the GCF of Fractions 112/66,162/21,465/723 is 1/111342

Least Common Multiple of 66,21,723 with GCF Formula

Least Common Multiple of 66,21,723 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 66,21,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,21,723) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(66,21,723) x common factors =3 x 3 = 9

LCM(66,21,723) = ( 66 × 21 × 723 ) / 9

LCM(66,21,723) = 1002078 / 9

LCM(66,21,723) = 111342


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 112/66, 162/21, 465/723

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 112/66, 162/21, 465/723?

Answer: GCF of Numerators as per given numbers 112/66, 162/21, 465/723 is

GCF of Numerators i.e. for 112,162,465 is 1

LCM of denominators i.e. for 66,21,723 is 111342.

Thus, GCF of Fractions is 1/111342.Finally, GCF of Fractions for 112/66, 162/21, 465/723 is 1/111342.