GCD of 360, 644, 590, 824 Calculator

Given Input numbers are 360, 644, 590, 824

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 590 :

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

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

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (360, 644, 590, 824) = 2.

Given numbers are 360, 644, 590, 824

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 590 are 2 x 5 x 59

Prime factors of 824 are 2 x 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 360, 644, 590, 824 is 2.

Given numbers are 360, 644, 590, 824

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

Apply this formula for all numbers.

Step1:

LCM(360, 644) = 57960

GCD(360, 644) = ( 360 x 644 ) / 57960

= 360 / 644

= 360

Step2:

LCM(4, 590) = 1180

GCD(4, 590) = ( 4 x 590 ) / 1180

= 4 / 590

= 4

Step3:

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

= 2 / 824

= 2

So, Greatest Common Divisor of 360, 644, 590, 824 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 681, 127, 498
• GCD of 440, 737, 205, 496
• GCD of 804, 921, 910, 144
• GCD of 426, 281, 943, 277
• GCD of 290, 581, 186, 679

Given numbers are 360, 644, 590, 824
The greatest common divisor of numbers 360, 644, 590, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 644, 590, 824 is 2.

1. What is the GCD of 360, 644, 590, 824?

GCD of given numbers 360, 644, 590, 824 is 2

2. How to calculate the greatest common divisor of 360, 644, 590, 824?

We can find the highest common divisor of 360, 644, 590, 824 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 360, 644, 590, 824 i.e 2.

3. How can I use the GCD of 360, 644, 590, 824Calculator?

Out the numbers 360, 644, 590, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.