GCD of 561, 580, 105, 172 Calculator

Given Input numbers are 561, 580, 105, 172

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 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (561, 580, 105, 172) = 1.

Given numbers are 561, 580, 105, 172

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 105 are 3 x 5 x 7

Prime factors of 172 are 2 x 2 x 43

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

Given numbers are 561, 580, 105, 172

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

Apply this formula for all numbers.

Step1:

LCM(561, 580) = 325380

GCD(561, 580) = ( 561 x 580 ) / 325380

= 561 / 580

= 561

Step2:

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

= 1 / 105

= 1

Step3:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1

So, Greatest Common Divisor of 561, 580, 105, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 994, 498, 709, 837
• GCD of 253, 825, 737, 944
• GCD of 287, 259, 280, 835
• GCD of 591, 371, 880, 953
• GCD of 338, 808, 549, 106

Given numbers are 561, 580, 105, 172
The greatest common divisor of numbers 561, 580, 105, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 580, 105, 172 is 1.

1. What is the GCD of 561, 580, 105, 172?

GCD of given numbers 561, 580, 105, 172 is 1

2. How to calculate the greatest common divisor of 561, 580, 105, 172?

We can find the highest common divisor of 561, 580, 105, 172 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, 580, 105, 172 i.e 1.

3. How can I use the GCD of 561, 580, 105, 172Calculator?

Out the numbers 561, 580, 105, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.