GCD of 855, 570, 10, 880 Calculator

Given Input numbers are 855, 570, 10, 880

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 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

Divisors of 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

GCD of numbers is the greatest common divisor

So, the GCD (855, 570, 10, 880) = 5.

Given numbers are 855, 570, 10, 880

The list of prime factors of all numbers are

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

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 10 are 2 x 5

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

The highest common occurrence is 5¹

Therefore, GCD of 855, 570, 10, 880 is 5.

Given numbers are 855, 570, 10, 880

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

Apply this formula for all numbers.

Step1:

LCM(855, 570) = 1710

GCD(855, 570) = ( 855 x 570 ) / 1710

= 855 / 570

= 855

Step2:

LCM(285, 10) = 570

GCD(285, 10) = ( 285 x 10 ) / 570

= 285 / 10

= 285

Step3:

LCM(5, 880) = 880

GCD(5, 880) = ( 5 x 880 ) / 880

= 5 / 880

= 5

So, Greatest Common Divisor of 855, 570, 10, 880 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 804, 10, 330
• GCD of 361, 344, 16, 419
• GCD of 623, 496, 40, 653
• GCD of 402, 746, 73, 736
• GCD of 259, 687, 29, 483

Given numbers are 855, 570, 10, 880
The greatest common divisor of numbers 855, 570, 10, 880 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 855, 570, 10, 880 is 5.

1. What is the GCD of 855, 570, 10, 880?

GCD of given numbers 855, 570, 10, 880 is 5

2. How to calculate the greatest common divisor of 855, 570, 10, 880?

We can find the highest common divisor of 855, 570, 10, 880 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, 570, 10, 880 i.e 5.

3. How can I use the GCD of 855, 570, 10, 880Calculator?

Out the numbers 855, 570, 10, 880 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.