GCD of 580, 262, 150, 828 Calculator

Given Input numbers are 580, 262, 150, 828

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 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (580, 262, 150, 828) = 2.

Given numbers are 580, 262, 150, 828

The list of prime factors of all numbers are

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

Prime factors of 262 are 2 x 131

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 580, 262, 150, 828 is 2.

Given numbers are 580, 262, 150, 828

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

Apply this formula for all numbers.

Step1:

LCM(580, 262) = 75980

GCD(580, 262) = ( 580 x 262 ) / 75980

= 580 / 262

= 580

Step2:

LCM(2, 150) = 150

GCD(2, 150) = ( 2 x 150 ) / 150

= 2 / 150

= 2

Step3:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

So, Greatest Common Divisor of 580, 262, 150, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 732, 133, 477, 498
• GCD of 101, 192, 149, 817
• GCD of 926, 405, 649, 765
• GCD of 360, 798, 248, 424
• GCD of 372, 654, 500, 776

Given numbers are 580, 262, 150, 828
The greatest common divisor of numbers 580, 262, 150, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 262, 150, 828 is 2.

1. What is the GCD of 580, 262, 150, 828?

GCD of given numbers 580, 262, 150, 828 is 2

2. How to calculate the greatest common divisor of 580, 262, 150, 828?

We can find the highest common divisor of 580, 262, 150, 828 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, 262, 150, 828 i.e 2.

3. How can I use the GCD of 580, 262, 150, 828Calculator?

Out the numbers 580, 262, 150, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.