GCD of 324, 742, 590, 470 Calculator

Given Input numbers are 324, 742, 590, 470

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

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

GCD of numbers is the greatest common divisor

So, the GCD (324, 742, 590, 470) = 2.

Given numbers are 324, 742, 590, 470

The list of prime factors of all numbers are

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 742 are 2 x 7 x 53

Prime factors of 590 are 2 x 5 x 59

Prime factors of 470 are 2 x 5 x 47

The highest common occurrence is 2¹

Therefore, GCD of 324, 742, 590, 470 is 2.

Given numbers are 324, 742, 590, 470

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

Apply this formula for all numbers.

Step1:

LCM(324, 742) = 120204

GCD(324, 742) = ( 324 x 742 ) / 120204

= 324 / 742

= 324

Step2:

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

= 2 / 590

= 2

Step3:

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

= 2 / 470

= 2

So, Greatest Common Divisor of 324, 742, 590, 470 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 825, 439, 887
• GCD of 631, 175, 318, 422
• GCD of 261, 821, 727, 385
• GCD of 242, 723, 745, 701
• GCD of 520, 611, 809, 900

Given numbers are 324, 742, 590, 470
The greatest common divisor of numbers 324, 742, 590, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 742, 590, 470 is 2.

1. What is the GCD of 324, 742, 590, 470?

GCD of given numbers 324, 742, 590, 470 is 2

2. How to calculate the greatest common divisor of 324, 742, 590, 470?

We can find the highest common divisor of 324, 742, 590, 470 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 324, 742, 590, 470 i.e 2.

3. How can I use the GCD of 324, 742, 590, 470Calculator?

Out the numbers 324, 742, 590, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.