Greatest Common Factor of 446/73, 690/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 446/73, 690/214

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 446/73,690/214

Given fractions are 446/73,690/214

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 446,690

Greatest Common Factor of Numerators i.e. GCF of 446,690 is 2 .

LCM of Denominators means LCM of 73,214 as per the given fractions.

LCM of 73,214 is 15622 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 446,690

GCF of Fractions 446/73,690/214 is 2/15622

2 446, 690
223, 345

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

Greatest Common Factor of 446,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 446,690 By Matching Biggest Common Factor Method

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 446,690 . The biggest common factor number is the GCF number.
So the greatest common factor 446,690 is 2.

Lets's calculate LCM of 73,214

Given numbers has no common factors except 1. So, there LCM is their product i.e 15622

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15622

Therefore, the GCF of Fractions 446/73,690/214 is 2/15622

Least Common Multiple of 73,214 with GCF Formula

Least Common Multiple of 73,214 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 73,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,214) = 1

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

GCF(73,214) x common factors =1 x 1 = 1

LCM(73,214) = ( 73 × 214 ) / 1

LCM(73,214) = 15622 / 1

LCM(73,214) = 15622


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 446/73, 690/214

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 446/73, 690/214?

Answer: GCF of Numerators as per given numbers 446/73, 690/214 is

GCF of Numerators i.e. for 446,690 is 2

LCM of denominators i.e. for 73,214 is 15622.

Thus, GCF of Fractions is 2/15622.Finally, GCF of Fractions for 446/73, 690/214 is 2/15622.