GCD of 360, 524, 580, 102 Calculator

Given Input numbers are 360, 524, 580, 102

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 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (360, 524, 580, 102) = 2.

Given numbers are 360, 524, 580, 102

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 524 are 2 x 2 x 131

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 360, 524, 580, 102 is 2.

Given numbers are 360, 524, 580, 102

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

Apply this formula for all numbers.

Step1:

LCM(360, 524) = 47160

GCD(360, 524) = ( 360 x 524 ) / 47160

= 360 / 524

= 360

Step2:

LCM(4, 580) = 580

GCD(4, 580) = ( 4 x 580 ) / 580

= 4 / 580

= 4

Step3:

LCM(4, 102) = 204

GCD(4, 102) = ( 4 x 102 ) / 204

= 4 / 102

= 4

So, Greatest Common Divisor of 360, 524, 580, 102 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 943, 682, 735, 262
• GCD of 421, 333, 908, 548
• GCD of 965, 434, 918, 403
• GCD of 610, 791, 215, 857
• GCD of 684, 959, 773, 152

Given numbers are 360, 524, 580, 102
The greatest common divisor of numbers 360, 524, 580, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 524, 580, 102 is 2.

1. What is the GCD of 360, 524, 580, 102?

GCD of given numbers 360, 524, 580, 102 is 2

2. How to calculate the greatest common divisor of 360, 524, 580, 102?

We can find the highest common divisor of 360, 524, 580, 102 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, 524, 580, 102 i.e 2.

3. How can I use the GCD of 360, 524, 580, 102Calculator?

Out the numbers 360, 524, 580, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.