GCD of 855, 200, 580 Calculator

Given Input numbers are 855, 200, 580

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

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

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

GCD of numbers is the greatest common divisor

So, the GCD (855, 200, 580) = 5.

Given numbers are 855, 200, 580

The list of prime factors of all numbers are

Prime factors of 855 are 3 x 3 x 5 x 19

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

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

The highest common occurrence is 5¹

Therefore, GCD of 855, 200, 580 is 5.

Given numbers are 855, 200, 580

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

Apply this formula for all numbers.

Step1:

LCM(855, 200) = 34200

GCD(855, 200) = ( 855 x 200 ) / 34200

= 855 / 200

= 855

Step2:

LCM(5, 580) = 580

GCD(5, 580) = ( 5 x 580 ) / 580

= 5 / 580

= 5

So, Greatest Common Divisor of 855, 200, 580 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 383, 100, 215
• GCD of 598, 546, 350
• GCD of 581, 926, 337
• GCD of 828, 463, 847
• GCD of 942, 701, 296

Given numbers are 855, 200, 580
The greatest common divisor of numbers 855, 200, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 855, 200, 580 is 5.

1. What is the GCD of 855, 200, 580?

GCD of given numbers 855, 200, 580 is 5

2. How to calculate the greatest common divisor of 855, 200, 580?

We can find the highest common divisor of 855, 200, 580 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 855, 200, 580 i.e 5.

3. How can I use the GCD of 855, 200, 580Calculator?

Out the numbers 855, 200, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.