Greatest Common Factor of 8958/903, 4174/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8958/903, 4174/249

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 8958/903,4174/249

Given fractions are 8958/903,4174/249

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 8958,4174

Greatest Common Factor of Numerators i.e. GCF of 8958,4174 is 2 .

LCM of Denominators means LCM of 903,249 as per the given fractions.

LCM of 903,249 is 74949 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8958,4174

GCF of Fractions 8958/903,4174/249 is 2/74949

2 8958, 4174
4479, 2087

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

Greatest Common Factor of 8958,4174 By Matching Biggest Common Factor Method

Greatest Common Factor of 8958,4174 By Matching Biggest Common Factor Method

Factors of 8958

List of positive integer factors of 8958 that divides 8958 without a remainder.

1,2,3,6,1493,2986,4479,8958

Factors of 4174

List of positive integer factors of 4174 that divides 4174 without a remainder.

1,2,2087,4174

Greatest Common Factor

We found the factors 8958,4174 . The biggest common factor number is the GCF number.
So the greatest common factor 8958,4174 is 2.

Lets's calculate LCM of 903,249

3 903, 249
301, 83

∴ So the LCM of the given numbers is 3 x 301 x 83 = 74949

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/74949

Therefore, the GCF of Fractions 8958/903,4174/249 is 2/74949

Least Common Multiple of 903,249 with GCF Formula

Least Common Multiple of 903,249 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 903,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(903,249) = 3

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

GCF(903,249) x common factors =3 x 1 = 3

LCM(903,249) = ( 903 × 249 ) / 3

LCM(903,249) = 224847 / 3

LCM(903,249) = 74949


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 8958/903, 4174/249

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 8958/903, 4174/249?

Answer: GCF of Numerators as per given numbers 8958/903, 4174/249 is

GCF of Numerators i.e. for 8958,4174 is 2

LCM of denominators i.e. for 903,249 is 74949.

Thus, GCF of Fractions is 2/74949.Finally, GCF of Fractions for 8958/903, 4174/249 is 2/74949.