Greatest Common Factor of 212/493, 558/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 212/493, 558/264

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 212/493,558/264

Given fractions are 212/493,558/264

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 212,558

Greatest Common Factor of Numerators i.e. GCF of 212,558 is 2 .

LCM of Denominators means LCM of 493,264 as per the given fractions.

LCM of 493,264 is 130152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 212,558

GCF of Fractions 212/493,558/264 is 2/130152

2 212, 558
106, 279

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

Greatest Common Factor of 212,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 212,558 By Matching Biggest Common Factor Method

Factors of 212

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

1,2,4,53,106,212

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 212,558 . The biggest common factor number is the GCF number.
So the greatest common factor 212,558 is 2.

Lets's calculate LCM of 493,264

Given numbers has no common factors except 1. So, there LCM is their product i.e 130152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/130152

Therefore, the GCF of Fractions 212/493,558/264 is 2/130152

Least Common Multiple of 493,264 with GCF Formula

Least Common Multiple of 493,264 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 493,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,264) = 1

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

GCF(493,264) x common factors =1 x 1 = 1

LCM(493,264) = ( 493 × 264 ) / 1

LCM(493,264) = 130152 / 1

LCM(493,264) = 130152


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 212/493, 558/264

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 212/493, 558/264?

Answer: GCF of Numerators as per given numbers 212/493, 558/264 is

GCF of Numerators i.e. for 212,558 is 2

LCM of denominators i.e. for 493,264 is 130152.

Thus, GCF of Fractions is 2/130152.Finally, GCF of Fractions for 212/493, 558/264 is 2/130152.