Greatest Common Factor of 999/76, 441/39, 696/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 999/76, 441/39, 696/565

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 999/76,441/39,696/565

Given fractions are 999/76,441/39,696/565

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 999,441,696

Greatest Common Factor of Numerators i.e. GCF of 999,441,696 is 3 .

LCM of Denominators means LCM of 76,39,565 as per the given fractions.

LCM of 76,39,565 is 1674660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 999,441,696

GCF of Fractions 999/76,441/39,696/565 is 3/1674660

3 999, 441, 696
333, 147, 232

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

Greatest Common Factor of 999,441,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 999,441,696 By Matching Biggest Common Factor Method

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 999,441,696 . The biggest common factor number is the GCF number.
So the greatest common factor 999,441,696 is 3.

Lets's calculate LCM of 76,39,565

Given numbers has no common factors except 1. So, there LCM is their product i.e 1674660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1674660

Therefore, the GCF of Fractions 999/76,441/39,696/565 is 3/1674660

Least Common Multiple of 76,39,565 with GCF Formula

Least Common Multiple of 76,39,565 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 76,39,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,39,565) = 1

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

GCF(76,39,565) x common factors =1 x 1 = 1

LCM(76,39,565) = ( 76 × 39 × 565 ) / 1

LCM(76,39,565) = 1674660 / 1

LCM(76,39,565) = 1674660


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 999/76, 441/39, 696/565

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 999/76, 441/39, 696/565?

Answer: GCF of Numerators as per given numbers 999/76, 441/39, 696/565 is

GCF of Numerators i.e. for 999,441,696 is 3

LCM of denominators i.e. for 76,39,565 is 1674660.

Thus, GCF of Fractions is 3/1674660.Finally, GCF of Fractions for 999/76, 441/39, 696/565 is 3/1674660.