Greatest Common Factor of 9936/668, 9825/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9936/668, 9825/816

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 9936/668,9825/816

Given fractions are 9936/668,9825/816

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 9936,9825

Greatest Common Factor of Numerators i.e. GCF of 9936,9825 is 3 .

LCM of Denominators means LCM of 668,816 as per the given fractions.

LCM of 668,816 is 136272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9936,9825

GCF of Fractions 9936/668,9825/816 is 3/136272

3 9936, 9825
3312, 3275

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

Greatest Common Factor of 9936,9825 By Matching Biggest Common Factor Method

Greatest Common Factor of 9936,9825 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 9825

List of positive integer factors of 9825 that divides 9825 without a remainder.

1,3,5,15,25,75,131,393,655,1965,3275,9825

Greatest Common Factor

We found the factors 9936,9825 . The biggest common factor number is the GCF number.
So the greatest common factor 9936,9825 is 3.

Lets's calculate LCM of 668,816

2 668, 816
2 334, 408
167, 204

∴ So the LCM of the given numbers is 2 x 2 x 167 x 204 = 136272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/136272

Therefore, the GCF of Fractions 9936/668,9825/816 is 3/136272

Least Common Multiple of 668,816 with GCF Formula

Least Common Multiple of 668,816 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 668,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,816) = 4

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

GCF(668,816) x common factors =4 x 1 = 4

LCM(668,816) = ( 668 × 816 ) / 4

LCM(668,816) = 545088 / 4

LCM(668,816) = 136272


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 9936/668, 9825/816

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 9936/668, 9825/816?

Answer: GCF of Numerators as per given numbers 9936/668, 9825/816 is

GCF of Numerators i.e. for 9936,9825 is 3

LCM of denominators i.e. for 668,816 is 136272.

Thus, GCF of Fractions is 3/136272.Finally, GCF of Fractions for 9936/668, 9825/816 is 3/136272.