Greatest Common Factor of 4074/73, 9436/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4074/73, 9436/860

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 4074/73,9436/860

Given fractions are 4074/73,9436/860

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 4074,9436

Greatest Common Factor of Numerators i.e. GCF of 4074,9436 is 14 .

LCM of Denominators means LCM of 73,860 as per the given fractions.

LCM of 73,860 is 62780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4074,9436

GCF of Fractions 4074/73,9436/860 is 14/62780

2 4074, 9436
7 2037, 4718
291, 674

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 4074,9436 By Matching Biggest Common Factor Method

Greatest Common Factor of 4074,9436 By Matching Biggest Common Factor Method

Factors of 4074

List of positive integer factors of 4074 that divides 4074 without a remainder.

1,2,3,6,7,14,21,42,97,194,291,582,679,1358,2037,4074

Factors of 9436

List of positive integer factors of 9436 that divides 9436 without a remainder.

1,2,4,7,14,28,337,674,1348,2359,4718,9436

Greatest Common Factor

We found the factors 4074,9436 . The biggest common factor number is the GCF number.
So the greatest common factor 4074,9436 is 14.

Lets's calculate LCM of 73,860

Given numbers has no common factors except 1. So, there LCM is their product i.e 62780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/62780

Therefore, the GCF of Fractions 4074/73,9436/860 is 14/62780

Least Common Multiple of 73,860 with GCF Formula

Least Common Multiple of 73,860 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 73,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,860) = 1

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

GCF(73,860) x common factors =1 x 1 = 1

LCM(73,860) = ( 73 × 860 ) / 1

LCM(73,860) = 62780 / 1

LCM(73,860) = 62780


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 4074/73, 9436/860

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 4074/73, 9436/860?

Answer: GCF of Numerators as per given numbers 4074/73, 9436/860 is

GCF of Numerators i.e. for 4074,9436 is 14

LCM of denominators i.e. for 73,860 is 62780.

Thus, GCF of Fractions is 14/62780.Finally, GCF of Fractions for 4074/73, 9436/860 is 14/62780.