GCD of 783, 573, 645, 267 Calculator

Given Input numbers are 783, 573, 645, 267

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Greatest Common Divisior

We found the divisors of 783, 573, 645, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 783, 573, 645, 267 is 3.

Therefore, GCD of numbers 783, 573, 645, 267 is 3

Given Input Data is 783, 573, 645, 267

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 573 is 3 x 191

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 267 is 3 x 89

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(783, 573) = 149553

GCD(783, 573) = ( 783 x 573 ) / 149553

GCD(783, 573) = 448659 / 149553

GCD(783, 573) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 645

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 645) = 645

GCD(3, 645) = ( 3 x 645 ) / 645

GCD(3, 645) = 1935 / 645

GCD(3, 645) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 267

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 267) = 267

GCD(3, 267) = ( 3 x 267 ) / 267

GCD(3, 267) = 801 / 267

GCD(3, 267) = 3

GCD of 783, 573, 645, 267 is 3

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1. What is the GCD of 783, 573, 645, 267?

GCD of 783, 573, 645, 267 is 3

2. Where do I get the detailed procedure to find GCD of 783, 573, 645, 267?

You can find a detailed procedure to find GCD of 783, 573, 645, 267 on our page.

3. How to find GCD of 783, 573, 645, 267 on a calculator?

You can find the GCD of 783, 573, 645, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.