Greatest Common Factor of 162/804, 872/575, 249/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 162/804, 872/575, 249/282

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 162/804,872/575,249/282

Given fractions are 162/804,872/575,249/282

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 162,872,249

Greatest Common Factor of Numerators i.e. GCF of 162,872,249 is 1 .

LCM of Denominators means LCM of 804,575,282 as per the given fractions.

LCM of 804,575,282 is 21728100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 162,872,249

GCF of Fractions 162/804,872/575,249/282 is 1/21728100

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

Greatest Common Factor of 162,872,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,872,249 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 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 162,872,249 . The biggest common factor number is the GCF number.
So the greatest common factor 162,872,249 is 1.

Lets's calculate LCM of 804,575,282

2 804, 575, 282
3 402, 575, 141
134, 575, 47

∴ So the LCM of the given numbers is 2 x 3 x 134 x 575 x 47 = 21728100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21728100

Therefore, the GCF of Fractions 162/804,872/575,249/282 is 1/21728100

Least Common Multiple of 804,575,282 with GCF Formula

Least Common Multiple of 804,575,282 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 804,575,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,575,282) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(804,575,282) x common factors =1 x 6 = 6

LCM(804,575,282) = ( 804 × 575 × 282 ) / 6

LCM(804,575,282) = 130368600 / 6

LCM(804,575,282) = 21728100


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 162/804, 872/575, 249/282

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 162/804, 872/575, 249/282?

Answer: GCF of Numerators as per given numbers 162/804, 872/575, 249/282 is

GCF of Numerators i.e. for 162,872,249 is 1

LCM of denominators i.e. for 804,575,282 is 21728100.

Thus, GCF of Fractions is 1/21728100.Finally, GCF of Fractions for 162/804, 872/575, 249/282 is 1/21728100.