GCD of 206, 705, 364, 552 Calculator

Given Input numbers are 206, 705, 364, 552

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

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Greatest Common Divisior

We found the divisors of 206, 705, 364, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 206, 705, 364, 552 is 1.

Therefore, GCD of numbers 206, 705, 364, 552 is 1

Given Input Data is 206, 705, 364, 552

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

Prime Factorization of 206 is 2 x 103

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

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(206, 705) = 145230

GCD(206, 705) = ( 206 x 705 ) / 145230

GCD(206, 705) = 145230 / 145230

GCD(206, 705) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 552

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

LCM(1, 552) = 552

GCD(1, 552) = ( 1 x 552 ) / 552

GCD(1, 552) = 552 / 552

GCD(1, 552) = 1

GCD of 206, 705, 364, 552 is 1

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1. What is the GCD of 206, 705, 364, 552?

GCD of 206, 705, 364, 552 is 1

2. Where do I get the detailed procedure to find GCD of 206, 705, 364, 552?

You can find a detailed procedure to find GCD of 206, 705, 364, 552 on our page.

3. How to find GCD of 206, 705, 364, 552 on a calculator?

You can find the GCD of 206, 705, 364, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.