GCD of 561, 272, 825, 585 Calculator

Given Input numbers are 561, 272, 825, 585

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 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

GCD of numbers is the greatest common divisor

So, the GCD (561, 272, 825, 585) = 1.

Given numbers are 561, 272, 825, 585

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 585 are 3 x 3 x 5 x 13

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

Given numbers are 561, 272, 825, 585

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

Apply this formula for all numbers.

Step1:

LCM(561, 272) = 8976

GCD(561, 272) = ( 561 x 272 ) / 8976

= 561 / 272

= 561

Step2:

LCM(17, 825) = 14025

GCD(17, 825) = ( 17 x 825 ) / 14025

= 17 / 825

= 17

Step3:

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

= 1 / 585

= 1

So, Greatest Common Divisor of 561, 272, 825, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 763, 903, 274
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• GCD of 593, 304, 665, 286

Given numbers are 561, 272, 825, 585
The greatest common divisor of numbers 561, 272, 825, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 272, 825, 585 is 1.

1. What is the GCD of 561, 272, 825, 585?

GCD of given numbers 561, 272, 825, 585 is 1

2. How to calculate the greatest common divisor of 561, 272, 825, 585?

We can find the highest common divisor of 561, 272, 825, 585 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, 272, 825, 585 i.e 1.

3. How can I use the GCD of 561, 272, 825, 585Calculator?

Out the numbers 561, 272, 825, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.