Greatest Common Factor of 12/821, 36/647, 984/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/821, 36/647, 984/685

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 12/821,36/647,984/685

Given fractions are 12/821,36/647,984/685

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 12,36,984

Greatest Common Factor of Numerators i.e. GCF of 12,36,984 is 12 .

LCM of Denominators means LCM of 821,647,685 as per the given fractions.

LCM of 821,647,685 is 363863095 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,36,984

GCF of Fractions 12/821,36/647,984/685 is 12/363863095

2 12, 36, 984
2 6, 18, 492
3 3, 9, 246
1, 3, 82

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 12,36,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,36,984 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 12,36,984 . The biggest common factor number is the GCF number.
So the greatest common factor 12,36,984 is 12.

Lets's calculate LCM of 821,647,685

Given numbers has no common factors except 1. So, there LCM is their product i.e 363863095

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/363863095

Therefore, the GCF of Fractions 12/821,36/647,984/685 is 12/363863095

Least Common Multiple of 821,647,685 with GCF Formula

Least Common Multiple of 821,647,685 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 821,647,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,647,685) = 1

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

GCF(821,647,685) x common factors =1 x 1 = 1

LCM(821,647,685) = ( 821 × 647 × 685 ) / 1

LCM(821,647,685) = 363863095 / 1

LCM(821,647,685) = 363863095


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 12/821, 36/647, 984/685

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 12/821, 36/647, 984/685?

Answer: GCF of Numerators as per given numbers 12/821, 36/647, 984/685 is

GCF of Numerators i.e. for 12,36,984 is 12

LCM of denominators i.e. for 821,647,685 is 363863095.

Thus, GCF of Fractions is 12/363863095.Finally, GCF of Fractions for 12/821, 36/647, 984/685 is 12/363863095.