Greatest Common Factor of 322/21, 842/99, 344/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 322/21, 842/99, 344/981

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 322/21,842/99,344/981

Given fractions are 322/21,842/99,344/981

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 322,842,344

Greatest Common Factor of Numerators i.e. GCF of 322,842,344 is 2 .

LCM of Denominators means LCM of 21,99,981 as per the given fractions.

LCM of 21,99,981 is 75537 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 322,842,344

GCF of Fractions 322/21,842/99,344/981 is 2/75537

2 322, 842, 344
161, 421, 172

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

Greatest Common Factor of 322,842,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,842,344 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 322,842,344 . The biggest common factor number is the GCF number.
So the greatest common factor 322,842,344 is 2.

Lets's calculate LCM of 21,99,981

3 21, 99, 981
3 7, 33, 327
7, 11, 109

∴ So the LCM of the given numbers is 3 x 3 x 7 x 11 x 109 = 75537

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/75537

Therefore, the GCF of Fractions 322/21,842/99,344/981 is 2/75537

Least Common Multiple of 21,99,981 with GCF Formula

Least Common Multiple of 21,99,981 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 21,99,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,99,981) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(21,99,981) x common factors =3 x 9 = 27

LCM(21,99,981) = ( 21 × 99 × 981 ) / 27

LCM(21,99,981) = 2039499 / 27

LCM(21,99,981) = 75537


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 322/21, 842/99, 344/981

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 322/21, 842/99, 344/981?

Answer: GCF of Numerators as per given numbers 322/21, 842/99, 344/981 is

GCF of Numerators i.e. for 322,842,344 is 2

LCM of denominators i.e. for 21,99,981 is 75537.

Thus, GCF of Fractions is 2/75537.Finally, GCF of Fractions for 322/21, 842/99, 344/981 is 2/75537.