Greatest Common Factor of 106/605, 612/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 106/605, 612/899

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 106/605,612/899

Given fractions are 106/605,612/899

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 106,612

Greatest Common Factor of Numerators i.e. GCF of 106,612 is 2 .

LCM of Denominators means LCM of 605,899 as per the given fractions.

LCM of 605,899 is 543895 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 106,612

GCF of Fractions 106/605,612/899 is 2/543895

2 106, 612
53, 306

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

Greatest Common Factor of 106,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,612 By Matching Biggest Common Factor Method

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 106,612 . The biggest common factor number is the GCF number.
So the greatest common factor 106,612 is 2.

Lets's calculate LCM of 605,899

Given numbers has no common factors except 1. So, there LCM is their product i.e 543895

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/543895

Therefore, the GCF of Fractions 106/605,612/899 is 2/543895

Least Common Multiple of 605,899 with GCF Formula

Least Common Multiple of 605,899 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 605,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,899) = 1

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

GCF(605,899) x common factors =1 x 1 = 1

LCM(605,899) = ( 605 × 899 ) / 1

LCM(605,899) = 543895 / 1

LCM(605,899) = 543895


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 106/605, 612/899

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 106/605, 612/899?

Answer: GCF of Numerators as per given numbers 106/605, 612/899 is

GCF of Numerators i.e. for 106,612 is 2

LCM of denominators i.e. for 605,899 is 543895.

Thus, GCF of Fractions is 2/543895.Finally, GCF of Fractions for 106/605, 612/899 is 2/543895.