GCD of 561, 552, 675, 505 Calculator

Given Input numbers are 561, 552, 675, 505

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

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

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 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 561, 552, 675, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 552, 675, 505 is 1.

Therefore, GCD of numbers 561, 552, 675, 505 is 1

Given Input Data is 561, 552, 675, 505

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

Prime Factorization of 561 is 3 x 11 x 17

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

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

Prime Factorization of 505 is 5 x 101

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(561, 552) = 103224

GCD(561, 552) = ( 561 x 552 ) / 103224

GCD(561, 552) = 309672 / 103224

GCD(561, 552) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 675

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

LCM(3, 675) = 675

GCD(3, 675) = ( 3 x 675 ) / 675

GCD(3, 675) = 2025 / 675

GCD(3, 675) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 505

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

LCM(3, 505) = 1515

GCD(3, 505) = ( 3 x 505 ) / 1515

GCD(3, 505) = 1515 / 1515

GCD(3, 505) = 1

GCD of 561, 552, 675, 505 is 1

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1. What is the GCD of 561, 552, 675, 505?

GCD of 561, 552, 675, 505 is 1

2. Where do I get the detailed procedure to find GCD of 561, 552, 675, 505?

You can find a detailed procedure to find GCD of 561, 552, 675, 505 on our page.

3. How to find GCD of 561, 552, 675, 505 on a calculator?

You can find the GCD of 561, 552, 675, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.