Greatest Common Factor of 9808/23, 9084/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9808/23, 9084/996

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 9808/23,9084/996

Given fractions are 9808/23,9084/996

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 9808,9084

Greatest Common Factor of Numerators i.e. GCF of 9808,9084 is 4 .

LCM of Denominators means LCM of 23,996 as per the given fractions.

LCM of 23,996 is 22908 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9808,9084

GCF of Fractions 9808/23,9084/996 is 4/22908

2 9808, 9084
2 4904, 4542
2452, 2271

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9808,9084 By Matching Biggest Common Factor Method

Greatest Common Factor of 9808,9084 By Matching Biggest Common Factor Method

Factors of 9808

List of positive integer factors of 9808 that divides 9808 without a remainder.

1,2,4,8,16,613,1226,2452,4904,9808

Factors of 9084

List of positive integer factors of 9084 that divides 9084 without a remainder.

1,2,3,4,6,12,757,1514,2271,3028,4542,9084

Greatest Common Factor

We found the factors 9808,9084 . The biggest common factor number is the GCF number.
So the greatest common factor 9808,9084 is 4.

Lets's calculate LCM of 23,996

Given numbers has no common factors except 1. So, there LCM is their product i.e 22908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/22908

Therefore, the GCF of Fractions 9808/23,9084/996 is 4/22908

Least Common Multiple of 23,996 with GCF Formula

Least Common Multiple of 23,996 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 23,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,996) = 1

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

GCF(23,996) x common factors =1 x 1 = 1

LCM(23,996) = ( 23 × 996 ) / 1

LCM(23,996) = 22908 / 1

LCM(23,996) = 22908


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 9808/23, 9084/996

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 9808/23, 9084/996?

Answer: GCF of Numerators as per given numbers 9808/23, 9084/996 is

GCF of Numerators i.e. for 9808,9084 is 4

LCM of denominators i.e. for 23,996 is 22908.

Thus, GCF of Fractions is 4/22908.Finally, GCF of Fractions for 9808/23, 9084/996 is 4/22908.