GCD of 205, 675, 658, 552 Calculator

Given Input numbers are 205, 675, 658, 552

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

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

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 205, 675, 658, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 675, 658, 552 is 1.

Therefore, GCD of numbers 205, 675, 658, 552 is 1

Given Input Data is 205, 675, 658, 552

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 658 is 2 x 7 x 47

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(205, 675) = 27675

GCD(205, 675) = ( 205 x 675 ) / 27675

GCD(205, 675) = 138375 / 27675

GCD(205, 675) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 658

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

LCM(5, 658) = 3290

GCD(5, 658) = ( 5 x 658 ) / 3290

GCD(5, 658) = 3290 / 3290

GCD(5, 658) = 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 205, 675, 658, 552 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 316, 966, 953
• GCD of 283, 464, 285, 216
• GCD of 911, 377, 761, 844
• GCD of 231, 517, 853, 739
• GCD of 355, 882, 698, 463

1. What is the GCD of 205, 675, 658, 552?

GCD of 205, 675, 658, 552 is 1

2. Where do I get the detailed procedure to find GCD of 205, 675, 658, 552?

You can find a detailed procedure to find GCD of 205, 675, 658, 552 on our page.

3. How to find GCD of 205, 675, 658, 552 on a calculator?

You can find the GCD of 205, 675, 658, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.