Greatest Common Factor of 9258/273, 1247/3508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9258/273, 1247/3508

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 9258/273,1247/3508

Given fractions are 9258/273,1247/3508

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 9258,1247

Greatest Common Factor of Numerators i.e. GCF of 9258,1247 is 1 .

LCM of Denominators means LCM of 273,3508 as per the given fractions.

LCM of 273,3508 is 957684 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9258,1247

GCF of Fractions 9258/273,1247/3508 is 1/957684

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9258,1247 By Matching Biggest Common Factor Method

Greatest Common Factor of 9258,1247 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 1247

List of positive integer factors of 1247 that divides 1247 without a remainder.

1,29,43,1247

Greatest Common Factor

We found the factors 9258,1247 . The biggest common factor number is the GCF number.
So the greatest common factor 9258,1247 is 1.

Lets's calculate LCM of 273,3508

Given numbers has no common factors except 1. So, there LCM is their product i.e 957684

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/957684

Therefore, the GCF of Fractions 9258/273,1247/3508 is 1/957684

Least Common Multiple of 273,3508 with GCF Formula

Least Common Multiple of 273,3508 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 273,3508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,3508) = 1

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

GCF(273,3508) x common factors =1 x 1 = 1

LCM(273,3508) = ( 273 × 3508 ) / 1

LCM(273,3508) = 957684 / 1

LCM(273,3508) = 957684


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 9258/273, 1247/3508

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 9258/273, 1247/3508?

Answer: GCF of Numerators as per given numbers 9258/273, 1247/3508 is

GCF of Numerators i.e. for 9258,1247 is 1

LCM of denominators i.e. for 273,3508 is 957684.

Thus, GCF of Fractions is 1/957684.Finally, GCF of Fractions for 9258/273, 1247/3508 is 1/957684.