Greatest Common Factor of 822/590, 5451/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 822/590, 5451/372

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 822/590,5451/372

Given fractions are 822/590,5451/372

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 822,5451

Greatest Common Factor of Numerators i.e. GCF of 822,5451 is 3 .

LCM of Denominators means LCM of 590,372 as per the given fractions.

LCM of 590,372 is 109740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 822,5451

GCF of Fractions 822/590,5451/372 is 3/109740

3 822, 5451
274, 1817

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

Greatest Common Factor of 822,5451 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,5451 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 5451

List of positive integer factors of 5451 that divides 5451 without a remainder.

1,3,23,69,79,237,1817,5451

Greatest Common Factor

We found the factors 822,5451 . The biggest common factor number is the GCF number.
So the greatest common factor 822,5451 is 3.

Lets's calculate LCM of 590,372

2 590, 372
295, 186

∴ So the LCM of the given numbers is 2 x 295 x 186 = 109740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/109740

Therefore, the GCF of Fractions 822/590,5451/372 is 3/109740

Least Common Multiple of 590,372 with GCF Formula

Least Common Multiple of 590,372 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 590,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(590,372) = 2

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

GCF(590,372) x common factors =2 x 1 = 2

LCM(590,372) = ( 590 × 372 ) / 2

LCM(590,372) = 219480 / 2

LCM(590,372) = 109740


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 822/590, 5451/372

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 822/590, 5451/372?

Answer: GCF of Numerators as per given numbers 822/590, 5451/372 is

GCF of Numerators i.e. for 822,5451 is 3

LCM of denominators i.e. for 590,372 is 109740.

Thus, GCF of Fractions is 3/109740.Finally, GCF of Fractions for 822/590, 5451/372 is 3/109740.