Greatest Common Factor of 822/562, 637/479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 822/562, 637/479

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 822/562,637/479

Given fractions are 822/562,637/479

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 822,637

Greatest Common Factor of Numerators i.e. GCF of 822,637 is 1 .

LCM of Denominators means LCM of 562,479 as per the given fractions.

LCM of 562,479 is 269198 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 822,637

GCF of Fractions 822/562,637/479 is 1/269198

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

Greatest Common Factor of 822,637 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,637 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 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Greatest Common Factor

We found the factors 822,637 . The biggest common factor number is the GCF number.
So the greatest common factor 822,637 is 1.


Lets's calculate LCM of 562,479

Given numbers has no common factors except 1. So, there LCM is their product i.e 269198

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/269198

Therefore, the GCF of Fractions 822/562,637/479 is 1/269198

Least Common Multiple of 562,479 with GCF Formula

Least Common Multiple of 562,479 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 562,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,479) = 1

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

GCF(562,479) x common factors =1 x 1 = 1

LCM(562,479) = ( 562 × 479 ) / 1

LCM(562,479) = 269198 / 1

LCM(562,479) = 269198


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 822/562, 637/479

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 822/562, 637/479?

Answer: GCF of Numerators as per given numbers 822/562, 637/479 is

GCF of Numerators i.e. for 822,637 is 1

LCM of denominators i.e. for 562,479 is 269198.

Thus, GCF of Fractions is 1/269198.Finally, GCF of Fractions for 822/562, 637/479 is 1/269198.