GCD of 492, 561, 570, 789 Calculator

Given Input numbers are 492, 561, 570, 789

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 561 :

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

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

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

GCD of numbers is the greatest common divisor

So, the GCD (492, 561, 570, 789) = 3.

Given numbers are 492, 561, 570, 789

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 561 are 3 x 11 x 17

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 789 are 3 x 263

The highest common occurrence is 3¹

Therefore, GCD of 492, 561, 570, 789 is 3.

Given numbers are 492, 561, 570, 789

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

Apply this formula for all numbers.

Step1:

LCM(492, 561) = 92004

GCD(492, 561) = ( 492 x 561 ) / 92004

= 492 / 561

= 492

Step2:

LCM(3, 570) = 570

GCD(3, 570) = ( 3 x 570 ) / 570

= 3 / 570

= 3

Step3:

LCM(3, 789) = 789

GCD(3, 789) = ( 3 x 789 ) / 789

= 3 / 789

= 3

So, Greatest Common Divisor of 492, 561, 570, 789 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 479, 557, 588, 549
• GCD of 424, 511, 877, 601
• GCD of 743, 923, 551, 422
• GCD of 769, 675, 651, 744
• GCD of 332, 175, 101, 761

Given numbers are 492, 561, 570, 789
The greatest common divisor of numbers 492, 561, 570, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 561, 570, 789 is 3.

1. What is the GCD of 492, 561, 570, 789?

GCD of given numbers 492, 561, 570, 789 is 3

2. How to calculate the greatest common divisor of 492, 561, 570, 789?

We can find the highest common divisor of 492, 561, 570, 789 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 492, 561, 570, 789 i.e 3.

3. How can I use the GCD of 492, 561, 570, 789Calculator?

Out the numbers 492, 561, 570, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.