Greatest Common Factor of 3998/25, 9338/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3998/25, 9338/984

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 3998/25,9338/984

Given fractions are 3998/25,9338/984

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 3998,9338

Greatest Common Factor of Numerators i.e. GCF of 3998,9338 is 2 .

LCM of Denominators means LCM of 25,984 as per the given fractions.

LCM of 25,984 is 24600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3998,9338

GCF of Fractions 3998/25,9338/984 is 2/24600

2 3998, 9338
1999, 4669

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

Greatest Common Factor of 3998,9338 By Matching Biggest Common Factor Method

Greatest Common Factor of 3998,9338 By Matching Biggest Common Factor Method

Factors of 3998

List of positive integer factors of 3998 that divides 3998 without a remainder.

1,2,1999,3998

Factors of 9338

List of positive integer factors of 9338 that divides 9338 without a remainder.

1,2,7,14,23,29,46,58,161,203,322,406,667,1334,4669,9338

Greatest Common Factor

We found the factors 3998,9338 . The biggest common factor number is the GCF number.
So the greatest common factor 3998,9338 is 2.

Lets's calculate LCM of 25,984

Given numbers has no common factors except 1. So, there LCM is their product i.e 24600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24600

Therefore, the GCF of Fractions 3998/25,9338/984 is 2/24600

Least Common Multiple of 25,984 with GCF Formula

Least Common Multiple of 25,984 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 25,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,984) = 1

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

GCF(25,984) x common factors =1 x 1 = 1

LCM(25,984) = ( 25 × 984 ) / 1

LCM(25,984) = 24600 / 1

LCM(25,984) = 24600


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 3998/25, 9338/984

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 3998/25, 9338/984?

Answer: GCF of Numerators as per given numbers 3998/25, 9338/984 is

GCF of Numerators i.e. for 3998,9338 is 2

LCM of denominators i.e. for 25,984 is 24600.

Thus, GCF of Fractions is 2/24600.Finally, GCF of Fractions for 3998/25, 9338/984 is 2/24600.