Greatest Common Factor of 8388/497, 8883/9633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8388/497, 8883/9633

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 8388/497,8883/9633

Given fractions are 8388/497,8883/9633

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 8388,8883

Greatest Common Factor of Numerators i.e. GCF of 8388,8883 is 9 .

LCM of Denominators means LCM of 497,9633 as per the given fractions.

LCM of 497,9633 is 4787601 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8388,8883

GCF of Fractions 8388/497,8883/9633 is 9/4787601

3 8388, 8883
3 2796, 2961
932, 987

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 8388,8883 By Matching Biggest Common Factor Method

Greatest Common Factor of 8388,8883 By Matching Biggest Common Factor Method

Factors of 8388

List of positive integer factors of 8388 that divides 8388 without a remainder.

1,2,3,4,6,9,12,18,36,233,466,699,932,1398,2097,2796,4194,8388

Factors of 8883

List of positive integer factors of 8883 that divides 8883 without a remainder.

1,3,7,9,21,27,47,63,141,189,329,423,987,1269,2961,8883

Greatest Common Factor

We found the factors 8388,8883 . The biggest common factor number is the GCF number.
So the greatest common factor 8388,8883 is 9.

Lets's calculate LCM of 497,9633

Given numbers has no common factors except 1. So, there LCM is their product i.e 4787601

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/4787601

Therefore, the GCF of Fractions 8388/497,8883/9633 is 9/4787601

Least Common Multiple of 497,9633 with GCF Formula

Least Common Multiple of 497,9633 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 497,9633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,9633) = 1

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

GCF(497,9633) x common factors =1 x 1 = 1

LCM(497,9633) = ( 497 × 9633 ) / 1

LCM(497,9633) = 4787601 / 1

LCM(497,9633) = 4787601


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 8388/497, 8883/9633

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 8388/497, 8883/9633?

Answer: GCF of Numerators as per given numbers 8388/497, 8883/9633 is

GCF of Numerators i.e. for 8388,8883 is 9

LCM of denominators i.e. for 497,9633 is 4787601.

Thus, GCF of Fractions is 9/4787601.Finally, GCF of Fractions for 8388/497, 8883/9633 is 9/4787601.