GCD of 567, 330, 564, 942 Calculator

Given Input numbers are 567, 330, 564, 942

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

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

GCD of numbers is the greatest common divisor

So, the GCD (567, 330, 564, 942) = 3.

Given numbers are 567, 330, 564, 942

The list of prime factors of all numbers are

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 942 are 2 x 3 x 157

The highest common occurrence is 3¹

Therefore, GCD of 567, 330, 564, 942 is 3.

Given numbers are 567, 330, 564, 942

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

Apply this formula for all numbers.

Step1:

LCM(567, 330) = 62370

GCD(567, 330) = ( 567 x 330 ) / 62370

= 567 / 330

= 567

Step2:

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

= 3 / 564

= 3

Step3:

LCM(3, 942) = 942

GCD(3, 942) = ( 3 x 942 ) / 942

= 3 / 942

= 3

So, Greatest Common Divisor of 567, 330, 564, 942 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 441, 502, 199, 432
• GCD of 105, 998, 542, 121
• GCD of 906, 205, 636, 670
• GCD of 277, 609, 147, 154
• GCD of 741, 619, 941, 372

Given numbers are 567, 330, 564, 942
The greatest common divisor of numbers 567, 330, 564, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 330, 564, 942 is 3.

1. What is the GCD of 567, 330, 564, 942?

GCD of given numbers 567, 330, 564, 942 is 3

2. How to calculate the greatest common divisor of 567, 330, 564, 942?

We can find the highest common divisor of 567, 330, 564, 942 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 567, 330, 564, 942 i.e 3.

3. How can I use the GCD of 567, 330, 564, 942Calculator?

Out the numbers 567, 330, 564, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.