GCD of 580, 450, 905, 660 Calculator

Given Input numbers are 580, 450, 905, 660

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

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 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 905 :

The positive integer divisors of 905 that completely divides 905 are.

1, 5, 181, 905

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (580, 450, 905, 660) = 5.

Given numbers are 580, 450, 905, 660

The list of prime factors of all numbers are

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

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 905 are 5 x 181

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 5¹

Therefore, GCD of 580, 450, 905, 660 is 5.

Given numbers are 580, 450, 905, 660

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

Apply this formula for all numbers.

Step1:

LCM(580, 450) = 26100

GCD(580, 450) = ( 580 x 450 ) / 26100

= 580 / 450

= 580

Step2:

LCM(10, 905) = 1810

GCD(10, 905) = ( 10 x 905 ) / 1810

= 10 / 905

= 10

Step3:

LCM(5, 660) = 660

GCD(5, 660) = ( 5 x 660 ) / 660

= 5 / 660

= 5

So, Greatest Common Divisor of 580, 450, 905, 660 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 396, 998, 277, 673
• GCD of 472, 111, 596, 492
• GCD of 101, 604, 444, 275
• GCD of 374, 107, 363, 753
• GCD of 650, 546, 442, 593

Given numbers are 580, 450, 905, 660
The greatest common divisor of numbers 580, 450, 905, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 450, 905, 660 is 5.

1. What is the GCD of 580, 450, 905, 660?

GCD of given numbers 580, 450, 905, 660 is 5

2. How to calculate the greatest common divisor of 580, 450, 905, 660?

We can find the highest common divisor of 580, 450, 905, 660 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 580, 450, 905, 660 i.e 5.

3. How can I use the GCD of 580, 450, 905, 660Calculator?

Out the numbers 580, 450, 905, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.