GCD of 209, 945, 267, 562 Calculator

Given Input numbers are 209, 945, 267, 562

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 267

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

1, 3, 89, 267

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Greatest Common Divisior

We found the divisors of 209, 945, 267, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 945, 267, 562 is 1.

Therefore, GCD of numbers 209, 945, 267, 562 is 1

Given Input Data is 209, 945, 267, 562

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 267 is 3 x 89

Prime Factorization of 562 is 2 x 281

The above numbers do not have any common prime factor. So GCD is 1

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(209, 945) = 197505

GCD(209, 945) = ( 209 x 945 ) / 197505

GCD(209, 945) = 197505 / 197505

GCD(209, 945) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 267

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

LCM(1, 267) = 267

GCD(1, 267) = ( 1 x 267 ) / 267

GCD(1, 267) = 267 / 267

GCD(1, 267) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 562

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

LCM(1, 562) = 562

GCD(1, 562) = ( 1 x 562 ) / 562

GCD(1, 562) = 562 / 562

GCD(1, 562) = 1

GCD of 209, 945, 267, 562 is 1

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1. What is the GCD of 209, 945, 267, 562?

GCD of 209, 945, 267, 562 is 1

2. Where do I get the detailed procedure to find GCD of 209, 945, 267, 562?

You can find a detailed procedure to find GCD of 209, 945, 267, 562 on our page.

3. How to find GCD of 209, 945, 267, 562 on a calculator?

You can find the GCD of 209, 945, 267, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.