Greatest Common Factor of 162/284, 390/363, 946/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 162/284, 390/363, 946/231

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 162/284,390/363,946/231

Given fractions are 162/284,390/363,946/231

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 162,390,946

Greatest Common Factor of Numerators i.e. GCF of 162,390,946 is 2 .

LCM of Denominators means LCM of 284,363,231 as per the given fractions.

LCM of 284,363,231 is 721644 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 162,390,946

GCF of Fractions 162/284,390/363,946/231 is 2/721644

2 162, 390, 946
81, 195, 473

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 162,390,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,390,946 By Matching Biggest Common Factor Method

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 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 162,390,946 . The biggest common factor number is the GCF number.
So the greatest common factor 162,390,946 is 2.

Lets's calculate LCM of 284,363,231

3 284, 363, 231
11 284, 121, 77
284, 11, 7

∴ So the LCM of the given numbers is 3 x 11 x 284 x 11 x 7 = 721644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/721644

Therefore, the GCF of Fractions 162/284,390/363,946/231 is 2/721644

Least Common Multiple of 284,363,231 with GCF Formula

Least Common Multiple of 284,363,231 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 284,363,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,363,231) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(284,363,231) x common factors =1 x 33 = 33

LCM(284,363,231) = ( 284 × 363 × 231 ) / 33

LCM(284,363,231) = 23814252 / 33

LCM(284,363,231) = 721644


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 162/284, 390/363, 946/231

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 162/284, 390/363, 946/231?

Answer: GCF of Numerators as per given numbers 162/284, 390/363, 946/231 is

GCF of Numerators i.e. for 162,390,946 is 2

LCM of denominators i.e. for 284,363,231 is 721644.

Thus, GCF of Fractions is 2/721644.Finally, GCF of Fractions for 162/284, 390/363, 946/231 is 2/721644.