Greatest Common Factor of 282/87, 212/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 282/87, 212/164

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 282/87,212/164

Given fractions are 282/87,212/164

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 282,212

Greatest Common Factor of Numerators i.e. GCF of 282,212 is 2 .

LCM of Denominators means LCM of 87,164 as per the given fractions.

LCM of 87,164 is 14268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 282,212

GCF of Fractions 282/87,212/164 is 2/14268

2 282, 212
141, 106

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

Greatest Common Factor of 282,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,212 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Greatest Common Factor

We found the factors 282,212 . The biggest common factor number is the GCF number.
So the greatest common factor 282,212 is 2.

Lets's calculate LCM of 87,164

Given numbers has no common factors except 1. So, there LCM is their product i.e 14268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14268

Therefore, the GCF of Fractions 282/87,212/164 is 2/14268

Least Common Multiple of 87,164 with GCF Formula

Least Common Multiple of 87,164 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 87,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,164) = 1

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

GCF(87,164) x common factors =1 x 1 = 1

LCM(87,164) = ( 87 × 164 ) / 1

LCM(87,164) = 14268 / 1

LCM(87,164) = 14268


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 282/87, 212/164

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 282/87, 212/164?

Answer: GCF of Numerators as per given numbers 282/87, 212/164 is

GCF of Numerators i.e. for 282,212 is 2

LCM of denominators i.e. for 87,164 is 14268.

Thus, GCF of Fractions is 2/14268.Finally, GCF of Fractions for 282/87, 212/164 is 2/14268.