GCD of 570, 348, 390, 561 Calculator

Given Input numbers are 570, 348, 390, 561

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

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 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 561 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (570, 348, 390, 561) = 3.

Given numbers are 570, 348, 390, 561

The list of prime factors of all numbers are

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

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 561 are 3 x 11 x 17

The highest common occurrence is 3¹

Therefore, GCD of 570, 348, 390, 561 is 3.

Given numbers are 570, 348, 390, 561

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

Apply this formula for all numbers.

Step1:

LCM(570, 348) = 33060

GCD(570, 348) = ( 570 x 348 ) / 33060

= 570 / 348

= 570

Step2:

LCM(6, 390) = 390

GCD(6, 390) = ( 6 x 390 ) / 390

= 6 / 390

= 6

Step3:

LCM(6, 561) = 1122

GCD(6, 561) = ( 6 x 561 ) / 1122

= 6 / 561

= 6

So, Greatest Common Divisor of 570, 348, 390, 561 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 870, 625, 987, 135
• GCD of 277, 348, 976, 744
• GCD of 354, 179, 717, 108
• GCD of 204, 653, 400, 914
• GCD of 117, 198, 988, 982

Given numbers are 570, 348, 390, 561
The greatest common divisor of numbers 570, 348, 390, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 570, 348, 390, 561 is 3.

1. What is the GCD of 570, 348, 390, 561?

GCD of given numbers 570, 348, 390, 561 is 3

2. How to calculate the greatest common divisor of 570, 348, 390, 561?

We can find the highest common divisor of 570, 348, 390, 561 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 570, 348, 390, 561 i.e 3.

3. How can I use the GCD of 570, 348, 390, 561Calculator?

Out the numbers 570, 348, 390, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.