Greatest Common Factor of 9258/29, 3034/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9258/29, 3034/605

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 9258/29,3034/605

Given fractions are 9258/29,3034/605

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 9258,3034

Greatest Common Factor of Numerators i.e. GCF of 9258,3034 is 2 .

LCM of Denominators means LCM of 29,605 as per the given fractions.

LCM of 29,605 is 17545 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9258,3034

GCF of Fractions 9258/29,3034/605 is 2/17545

2 9258, 3034
4629, 1517

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

Greatest Common Factor of 9258,3034 By Matching Biggest Common Factor Method

Greatest Common Factor of 9258,3034 By Matching Biggest Common Factor Method

Factors of 9258

List of positive integer factors of 9258 that divides 9258 without a remainder.

1,2,3,6,1543,3086,4629,9258

Factors of 3034

List of positive integer factors of 3034 that divides 3034 without a remainder.

1,2,37,41,74,82,1517,3034

Greatest Common Factor

We found the factors 9258,3034 . The biggest common factor number is the GCF number.
So the greatest common factor 9258,3034 is 2.

Lets's calculate LCM of 29,605

Given numbers has no common factors except 1. So, there LCM is their product i.e 17545

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17545

Therefore, the GCF of Fractions 9258/29,3034/605 is 2/17545

Least Common Multiple of 29,605 with GCF Formula

Least Common Multiple of 29,605 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 29,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,605) = 1

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

GCF(29,605) x common factors =1 x 1 = 1

LCM(29,605) = ( 29 × 605 ) / 1

LCM(29,605) = 17545 / 1

LCM(29,605) = 17545


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 9258/29, 3034/605

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 9258/29, 3034/605?

Answer: GCF of Numerators as per given numbers 9258/29, 3034/605 is

GCF of Numerators i.e. for 9258,3034 is 2

LCM of denominators i.e. for 29,605 is 17545.

Thus, GCF of Fractions is 2/17545.Finally, GCF of Fractions for 9258/29, 3034/605 is 2/17545.