Greatest Common Factor of 8868/733, 4524/9402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8868/733, 4524/9402

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 8868/733,4524/9402

Given fractions are 8868/733,4524/9402

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 8868,4524

Greatest Common Factor of Numerators i.e. GCF of 8868,4524 is 12 .

LCM of Denominators means LCM of 733,9402 as per the given fractions.

LCM of 733,9402 is 6891666 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8868,4524

GCF of Fractions 8868/733,4524/9402 is 12/6891666

2 8868, 4524
2 4434, 2262
3 2217, 1131
739, 377

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 8868,4524 By Matching Biggest Common Factor Method

Greatest Common Factor of 8868,4524 By Matching Biggest Common Factor Method

Factors of 8868

List of positive integer factors of 8868 that divides 8868 without a remainder.

1,2,3,4,6,12,739,1478,2217,2956,4434,8868

Factors of 4524

List of positive integer factors of 4524 that divides 4524 without a remainder.

1,2,3,4,6,12,13,26,29,39,52,58,78,87,116,156,174,348,377,754,1131,1508,2262,4524

Greatest Common Factor

We found the factors 8868,4524 . The biggest common factor number is the GCF number.
So the greatest common factor 8868,4524 is 12.

Lets's calculate LCM of 733,9402

Given numbers has no common factors except 1. So, there LCM is their product i.e 6891666

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/6891666

Therefore, the GCF of Fractions 8868/733,4524/9402 is 12/6891666

Least Common Multiple of 733,9402 with GCF Formula

Least Common Multiple of 733,9402 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 733,9402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,9402) = 1

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

GCF(733,9402) x common factors =1 x 1 = 1

LCM(733,9402) = ( 733 × 9402 ) / 1

LCM(733,9402) = 6891666 / 1

LCM(733,9402) = 6891666


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 8868/733, 4524/9402

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 8868/733, 4524/9402?

Answer: GCF of Numerators as per given numbers 8868/733, 4524/9402 is

GCF of Numerators i.e. for 8868,4524 is 12

LCM of denominators i.e. for 733,9402 is 6891666.

Thus, GCF of Fractions is 12/6891666.Finally, GCF of Fractions for 8868/733, 4524/9402 is 12/6891666.