Greatest Common Factor of 6106/45, 6600/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6106/45, 6600/842

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 6106/45,6600/842

Given fractions are 6106/45,6600/842

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 6106,6600

Greatest Common Factor of Numerators i.e. GCF of 6106,6600 is 2 .

LCM of Denominators means LCM of 45,842 as per the given fractions.

LCM of 45,842 is 37890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6106,6600

GCF of Fractions 6106/45,6600/842 is 2/37890

2 6106, 6600
3053, 3300

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

Greatest Common Factor of 6106,6600 By Matching Biggest Common Factor Method

Greatest Common Factor of 6106,6600 By Matching Biggest Common Factor Method

Factors of 6106

List of positive integer factors of 6106 that divides 6106 without a remainder.

1,2,43,71,86,142,3053,6106

Factors of 6600

List of positive integer factors of 6600 that divides 6600 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,20,22,24,25,30,33,40,44,50,55,60,66,75,88,100,110,120,132,150,165,200,220,264,275,300,330,440,550,600,660,825,1100,1320,1650,2200,3300,6600

Greatest Common Factor

We found the factors 6106,6600 . The biggest common factor number is the GCF number.
So the greatest common factor 6106,6600 is 2.

Lets's calculate LCM of 45,842

Given numbers has no common factors except 1. So, there LCM is their product i.e 37890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37890

Therefore, the GCF of Fractions 6106/45,6600/842 is 2/37890

Least Common Multiple of 45,842 with GCF Formula

Least Common Multiple of 45,842 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 45,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,842) = 1

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

GCF(45,842) x common factors =1 x 1 = 1

LCM(45,842) = ( 45 × 842 ) / 1

LCM(45,842) = 37890 / 1

LCM(45,842) = 37890


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 6106/45, 6600/842

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 6106/45, 6600/842?

Answer: GCF of Numerators as per given numbers 6106/45, 6600/842 is

GCF of Numerators i.e. for 6106,6600 is 2

LCM of denominators i.e. for 45,842 is 37890.

Thus, GCF of Fractions is 2/37890.Finally, GCF of Fractions for 6106/45, 6600/842 is 2/37890.