Greatest Common Factor of 819/23, 354/40, 162/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 819/23, 354/40, 162/169

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 819/23,354/40,162/169

Given fractions are 819/23,354/40,162/169

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 819,354,162

Greatest Common Factor of Numerators i.e. GCF of 819,354,162 is 3 .

LCM of Denominators means LCM of 23,40,169 as per the given fractions.

LCM of 23,40,169 is 155480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 819,354,162

GCF of Fractions 819/23,354/40,162/169 is 3/155480

3 819, 354, 162
273, 118, 54

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 819,354,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,354,162 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

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

Greatest Common Factor

We found the factors 819,354,162 . The biggest common factor number is the GCF number.
So the greatest common factor 819,354,162 is 3.

Lets's calculate LCM of 23,40,169

Given numbers has no common factors except 1. So, there LCM is their product i.e 155480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/155480

Therefore, the GCF of Fractions 819/23,354/40,162/169 is 3/155480

Least Common Multiple of 23,40,169 with GCF Formula

Least Common Multiple of 23,40,169 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 23,40,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,40,169) = 1

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

GCF(23,40,169) x common factors =1 x 1 = 1

LCM(23,40,169) = ( 23 × 40 × 169 ) / 1

LCM(23,40,169) = 155480 / 1

LCM(23,40,169) = 155480


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 819/23, 354/40, 162/169

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 819/23, 354/40, 162/169?

Answer: GCF of Numerators as per given numbers 819/23, 354/40, 162/169 is

GCF of Numerators i.e. for 819,354,162 is 3

LCM of denominators i.e. for 23,40,169 is 155480.

Thus, GCF of Fractions is 3/155480.Finally, GCF of Fractions for 819/23, 354/40, 162/169 is 3/155480.