GCD of 570, 810, 357, 342 Calculator

Given Input numbers are 570, 810, 357, 342

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 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (570, 810, 357, 342) = 3.

Given numbers are 570, 810, 357, 342

The list of prime factors of all numbers are

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

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

Prime factors of 357 are 3 x 7 x 17

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 570, 810, 357, 342 is 3.

Given numbers are 570, 810, 357, 342

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

Apply this formula for all numbers.

Step1:

LCM(570, 810) = 15390

GCD(570, 810) = ( 570 x 810 ) / 15390

= 570 / 810

= 570

Step2:

LCM(30, 357) = 3570

GCD(30, 357) = ( 30 x 357 ) / 3570

= 30 / 357

= 30

Step3:

LCM(3, 342) = 342

GCD(3, 342) = ( 3 x 342 ) / 342

= 3 / 342

= 3

So, Greatest Common Divisor of 570, 810, 357, 342 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 104, 459, 620
• GCD of 243, 965, 587, 849
• GCD of 707, 609, 222, 679
• GCD of 324, 751, 835, 564
• GCD of 181, 262, 547, 771

Given numbers are 570, 810, 357, 342
The greatest common divisor of numbers 570, 810, 357, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 570, 810, 357, 342 is 3.

1. What is the GCD of 570, 810, 357, 342?

GCD of given numbers 570, 810, 357, 342 is 3

2. How to calculate the greatest common divisor of 570, 810, 357, 342?

We can find the highest common divisor of 570, 810, 357, 342 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, 810, 357, 342 i.e 3.

3. How can I use the GCD of 570, 810, 357, 342Calculator?

Out the numbers 570, 810, 357, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.