GCD of 564, 404, 370, 590 Calculator

Given Input numbers are 564, 404, 370, 590

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

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 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 590 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (564, 404, 370, 590) = 2.

Given numbers are 564, 404, 370, 590

The list of prime factors of all numbers are

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

Prime factors of 404 are 2 x 2 x 101

Prime factors of 370 are 2 x 5 x 37

Prime factors of 590 are 2 x 5 x 59

The highest common occurrence is 2¹

Therefore, GCD of 564, 404, 370, 590 is 2.

Given numbers are 564, 404, 370, 590

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

Apply this formula for all numbers.

Step1:

LCM(564, 404) = 56964

GCD(564, 404) = ( 564 x 404 ) / 56964

= 564 / 404

= 564

Step2:

LCM(4, 370) = 740

GCD(4, 370) = ( 4 x 370 ) / 740

= 4 / 370

= 4

Step3:

LCM(2, 590) = 590

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

= 2 / 590

= 2

So, Greatest Common Divisor of 564, 404, 370, 590 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 465, 281, 599
• GCD of 271, 161, 270, 211
• GCD of 839, 249, 291, 127
• GCD of 165, 155, 553, 642
• GCD of 130, 672, 911, 671

Given numbers are 564, 404, 370, 590
The greatest common divisor of numbers 564, 404, 370, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 404, 370, 590 is 2.

1. What is the GCD of 564, 404, 370, 590?

GCD of given numbers 564, 404, 370, 590 is 2

2. How to calculate the greatest common divisor of 564, 404, 370, 590?

We can find the highest common divisor of 564, 404, 370, 590 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 564, 404, 370, 590 i.e 2.

3. How can I use the GCD of 564, 404, 370, 590Calculator?

Out the numbers 564, 404, 370, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.