Greatest Common Factor of 9822/21, 2709/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9822/21, 2709/595

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 9822/21,2709/595

Given fractions are 9822/21,2709/595

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 9822,2709

Greatest Common Factor of Numerators i.e. GCF of 9822,2709 is 3 .

LCM of Denominators means LCM of 21,595 as per the given fractions.

LCM of 21,595 is 1785 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9822,2709

GCF of Fractions 9822/21,2709/595 is 3/1785

3 9822, 2709
3274, 903

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

Greatest Common Factor of 9822,2709 By Matching Biggest Common Factor Method

Greatest Common Factor of 9822,2709 By Matching Biggest Common Factor Method

Factors of 9822

List of positive integer factors of 9822 that divides 9822 without a remainder.

1,2,3,6,1637,3274,4911,9822

Factors of 2709

List of positive integer factors of 2709 that divides 2709 without a remainder.

1,3,7,9,21,43,63,129,301,387,903,2709

Greatest Common Factor

We found the factors 9822,2709 . The biggest common factor number is the GCF number.
So the greatest common factor 9822,2709 is 3.

Lets's calculate LCM of 21,595

7 21, 595
3, 85

∴ So the LCM of the given numbers is 7 x 3 x 85 = 1785

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1785

Therefore, the GCF of Fractions 9822/21,2709/595 is 3/1785

Least Common Multiple of 21,595 with GCF Formula

Least Common Multiple of 21,595 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 21,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,595) = 7

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

GCF(21,595) x common factors =7 x 1 = 7

LCM(21,595) = ( 21 × 595 ) / 7

LCM(21,595) = 12495 / 7

LCM(21,595) = 1785


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 9822/21, 2709/595

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 9822/21, 2709/595?

Answer: GCF of Numerators as per given numbers 9822/21, 2709/595 is

GCF of Numerators i.e. for 9822,2709 is 3

LCM of denominators i.e. for 21,595 is 1785.

Thus, GCF of Fractions is 3/1785.Finally, GCF of Fractions for 9822/21, 2709/595 is 3/1785.