Greatest Common Factor of 9836/38, 5868/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9836/38, 5868/792

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 9836/38,5868/792

Given fractions are 9836/38,5868/792

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 9836,5868

Greatest Common Factor of Numerators i.e. GCF of 9836,5868 is 4 .

LCM of Denominators means LCM of 38,792 as per the given fractions.

LCM of 38,792 is 15048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9836,5868

GCF of Fractions 9836/38,5868/792 is 4/15048

2 9836, 5868
2 4918, 2934
2459, 1467

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

Greatest Common Factor of 9836,5868 By Matching Biggest Common Factor Method

Greatest Common Factor of 9836,5868 By Matching Biggest Common Factor Method

Factors of 9836

List of positive integer factors of 9836 that divides 9836 without a remainder.

1,2,4,2459,4918,9836

Factors of 5868

List of positive integer factors of 5868 that divides 5868 without a remainder.

1,2,3,4,6,9,12,18,36,163,326,489,652,978,1467,1956,2934,5868

Greatest Common Factor

We found the factors 9836,5868 . The biggest common factor number is the GCF number.
So the greatest common factor 9836,5868 is 4.

Lets's calculate LCM of 38,792

2 38, 792
19, 396

∴ So the LCM of the given numbers is 2 x 19 x 396 = 15048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/15048

Therefore, the GCF of Fractions 9836/38,5868/792 is 4/15048

Least Common Multiple of 38,792 with GCF Formula

Least Common Multiple of 38,792 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 38,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,792) = 2

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

GCF(38,792) x common factors =2 x 1 = 2

LCM(38,792) = ( 38 × 792 ) / 2

LCM(38,792) = 30096 / 2

LCM(38,792) = 15048


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 9836/38, 5868/792

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 9836/38, 5868/792?

Answer: GCF of Numerators as per given numbers 9836/38, 5868/792 is

GCF of Numerators i.e. for 9836,5868 is 4

LCM of denominators i.e. for 38,792 is 15048.

Thus, GCF of Fractions is 4/15048.Finally, GCF of Fractions for 9836/38, 5868/792 is 4/15048.