GCD of 594, 279, 57, 342 Calculator

Given Input numbers are 594, 279, 57, 342

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

Divisors of 594 :

The positive integer divisors of 594 that completely divides 594 are.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

Divisors of 57 :

The positive integer divisors of 57 that completely divides 57 are.

1, 3, 19, 57

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 (594, 279, 57, 342) = 3.

Given numbers are 594, 279, 57, 342

The list of prime factors of all numbers are

Prime factors of 594 are 2 x 3 x 3 x 3 x 11

Prime factors of 279 are 3 x 3 x 31

Prime factors of 57 are 3 x 19

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

The highest common occurrence is 3¹

Therefore, GCD of 594, 279, 57, 342 is 3.

Given numbers are 594, 279, 57, 342

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

Apply this formula for all numbers.

Step1:

LCM(594, 279) = 18414

GCD(594, 279) = ( 594 x 279 ) / 18414

= 594 / 279

= 594

Step2:

LCM(9, 57) = 171

GCD(9, 57) = ( 9 x 57 ) / 171

= 9 / 57

= 9

Step3:

LCM(3, 342) = 342

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

= 3 / 342

= 3

So, Greatest Common Divisor of 594, 279, 57, 342 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 837, 83, 467
• GCD of 610, 822, 70, 689
• GCD of 715, 539, 28, 247
• GCD of 281, 125, 31, 737
• GCD of 807, 822, 96, 397

Given numbers are 594, 279, 57, 342
The greatest common divisor of numbers 594, 279, 57, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 594, 279, 57, 342 is 3.

1. What is the GCD of 594, 279, 57, 342?

GCD of given numbers 594, 279, 57, 342 is 3

2. How to calculate the greatest common divisor of 594, 279, 57, 342?

We can find the highest common divisor of 594, 279, 57, 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 594, 279, 57, 342 i.e 3.

3. How can I use the GCD of 594, 279, 57, 342Calculator?

Out the numbers 594, 279, 57, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.