Greatest Common Factor of 999/980, 791/885, 994/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 999/980, 791/885, 994/369

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 999/980,791/885,994/369

Given fractions are 999/980,791/885,994/369

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 999,791,994

Greatest Common Factor of Numerators i.e. GCF of 999,791,994 is 1 .

LCM of Denominators means LCM of 980,885,369 as per the given fractions.

LCM of 980,885,369 is 21335580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 999,791,994

GCF of Fractions 999/980,791/885,994/369 is 1/21335580

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 999,791,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 999,791,994 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 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 999,791,994 . The biggest common factor number is the GCF number.
So the greatest common factor 999,791,994 is 1.


Lets's calculate LCM of 980,885,369

3 980, 885, 369
5 980, 295, 123
196, 59, 123

∴ So the LCM of the given numbers is 3 x 5 x 196 x 59 x 123 = 21335580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21335580

Therefore, the GCF of Fractions 999/980,791/885,994/369 is 1/21335580

Least Common Multiple of 980,885,369 with GCF Formula

Least Common Multiple of 980,885,369 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 980,885,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,885,369) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(980,885,369) x common factors =1 x 15 = 15

LCM(980,885,369) = ( 980 × 885 × 369 ) / 15

LCM(980,885,369) = 320033700 / 15

LCM(980,885,369) = 21335580


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 999/980, 791/885, 994/369

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 999/980, 791/885, 994/369?

Answer: GCF of Numerators as per given numbers 999/980, 791/885, 994/369 is

GCF of Numerators i.e. for 999,791,994 is 1

LCM of denominators i.e. for 980,885,369 is 21335580.

Thus, GCF of Fractions is 1/21335580.Finally, GCF of Fractions for 999/980, 791/885, 994/369 is 1/21335580.