Greatest Common Factor of 3042/758, 5836/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3042/758, 5836/223

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 3042/758,5836/223

Given fractions are 3042/758,5836/223

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 3042,5836

Greatest Common Factor of Numerators i.e. GCF of 3042,5836 is 2 .

LCM of Denominators means LCM of 758,223 as per the given fractions.

LCM of 758,223 is 169034 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3042,5836

GCF of Fractions 3042/758,5836/223 is 2/169034

2 3042, 5836
1521, 2918

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

Greatest Common Factor of 3042,5836 By Matching Biggest Common Factor Method

Greatest Common Factor of 3042,5836 By Matching Biggest Common Factor Method

Factors of 3042

List of positive integer factors of 3042 that divides 3042 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,169,234,338,507,1014,1521,3042

Factors of 5836

List of positive integer factors of 5836 that divides 5836 without a remainder.

1,2,4,1459,2918,5836

Greatest Common Factor

We found the factors 3042,5836 . The biggest common factor number is the GCF number.
So the greatest common factor 3042,5836 is 2.

Lets's calculate LCM of 758,223

Given numbers has no common factors except 1. So, there LCM is their product i.e 169034

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/169034

Therefore, the GCF of Fractions 3042/758,5836/223 is 2/169034

Least Common Multiple of 758,223 with GCF Formula

Least Common Multiple of 758,223 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 758,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(758,223) = 1

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

GCF(758,223) x common factors =1 x 1 = 1

LCM(758,223) = ( 758 × 223 ) / 1

LCM(758,223) = 169034 / 1

LCM(758,223) = 169034


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 3042/758, 5836/223

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 3042/758, 5836/223?

Answer: GCF of Numerators as per given numbers 3042/758, 5836/223 is

GCF of Numerators i.e. for 3042,5836 is 2

LCM of denominators i.e. for 758,223 is 169034.

Thus, GCF of Fractions is 2/169034.Finally, GCF of Fractions for 3042/758, 5836/223 is 2/169034.