GCD of 561, 657, 164, 506 Calculator

Given Input numbers are 561, 657, 164, 506

In the factoring method, we have to find the divisors of all numbers

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

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

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (561, 657, 164, 506) = 1.

Given numbers are 561, 657, 164, 506

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 657 are 3 x 3 x 73

Prime factors of 164 are 2 x 2 x 41

Prime factors of 506 are 2 x 11 x 23

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

Given numbers are 561, 657, 164, 506

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(561, 657) = 122859

GCD(561, 657) = ( 561 x 657 ) / 122859

= 561 / 657

= 561

Step2:

LCM(3, 164) = 492

GCD(3, 164) = ( 3 x 164 ) / 492

= 3 / 164

= 3

Step3:

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

= 1 / 506

= 1

So, Greatest Common Divisor of 561, 657, 164, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 432, 540, 978, 671
• GCD of 278, 881, 124, 182
• GCD of 603, 660, 167, 800
• GCD of 959, 142, 979, 651
• GCD of 181, 772, 303, 390

Given numbers are 561, 657, 164, 506
The greatest common divisor of numbers 561, 657, 164, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 657, 164, 506 is 1.

1. What is the GCD of 561, 657, 164, 506?

GCD of given numbers 561, 657, 164, 506 is 1

2. How to calculate the greatest common divisor of 561, 657, 164, 506?

We can find the highest common divisor of 561, 657, 164, 506 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 561, 657, 164, 506 i.e 1.

3. How can I use the GCD of 561, 657, 164, 506Calculator?

Out the numbers 561, 657, 164, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.