Greatest Common Factor of 9936/997, 4822/6329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9936/997, 4822/6329

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 9936/997,4822/6329

Given fractions are 9936/997,4822/6329

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 9936,4822

Greatest Common Factor of Numerators i.e. GCF of 9936,4822 is 2 .

LCM of Denominators means LCM of 997,6329 as per the given fractions.

LCM of 997,6329 is 6310013 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9936,4822

GCF of Fractions 9936/997,4822/6329 is 2/6310013

2 9936, 4822
4968, 2411

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

Greatest Common Factor of 9936,4822 By Matching Biggest Common Factor Method

Greatest Common Factor of 9936,4822 By Matching Biggest Common Factor Method

Factors of 9936

List of positive integer factors of 9936 that divides 9936 without a remainder.

1,2,3,4,6,8,9,12,16,18,23,24,27,36,46,48,54,69,72,92,108,138,144,184,207,216,276,368,414,432,552,621,828,1104,1242,1656,2484,3312,4968,9936

Factors of 4822

List of positive integer factors of 4822 that divides 4822 without a remainder.

1,2,2411,4822

Greatest Common Factor

We found the factors 9936,4822 . The biggest common factor number is the GCF number.
So the greatest common factor 9936,4822 is 2.

Lets's calculate LCM of 997,6329

Given numbers has no common factors except 1. So, there LCM is their product i.e 6310013

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6310013

Therefore, the GCF of Fractions 9936/997,4822/6329 is 2/6310013

Least Common Multiple of 997,6329 with GCF Formula

Least Common Multiple of 997,6329 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 997,6329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,6329) = 1

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

GCF(997,6329) x common factors =1 x 1 = 1

LCM(997,6329) = ( 997 × 6329 ) / 1

LCM(997,6329) = 6310013 / 1

LCM(997,6329) = 6310013


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 9936/997, 4822/6329

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 9936/997, 4822/6329?

Answer: GCF of Numerators as per given numbers 9936/997, 4822/6329 is

GCF of Numerators i.e. for 9936,4822 is 2

LCM of denominators i.e. for 997,6329 is 6310013.

Thus, GCF of Fractions is 2/6310013.Finally, GCF of Fractions for 9936/997, 4822/6329 is 2/6310013.