GCD of 828, 210, 570, 870 Calculator

Given Input numbers are 828, 210, 570, 870

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

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

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

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 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

GCD of numbers is the greatest common divisor

So, the GCD (828, 210, 570, 870) = 6.

Given numbers are 828, 210, 570, 870

The list of prime factors of all numbers are

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

Prime factors of 210 are 2 x 3 x 5 x 7

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

Prime factors of 870 are 2 x 3 x 5 x 29

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 828, 210, 570, 870 is 6.

Given numbers are 828, 210, 570, 870

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

Apply this formula for all numbers.

Step1:

LCM(828, 210) = 28980

GCD(828, 210) = ( 828 x 210 ) / 28980

= 828 / 210

= 828

Step2:

LCM(6, 570) = 570

GCD(6, 570) = ( 6 x 570 ) / 570

= 6 / 570

= 6

Step3:

LCM(6, 870) = 870

GCD(6, 870) = ( 6 x 870 ) / 870

= 6 / 870

= 6

So, Greatest Common Divisor of 828, 210, 570, 870 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 576, 416, 468
• GCD of 765, 825, 477, 489
• GCD of 360, 524, 349, 476
• GCD of 449, 379, 135, 451
• GCD of 317, 423, 259, 792

Given numbers are 828, 210, 570, 870
The greatest common divisor of numbers 828, 210, 570, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 210, 570, 870 is 6.

1. What is the GCD of 828, 210, 570, 870?

GCD of given numbers 828, 210, 570, 870 is 6

2. How to calculate the greatest common divisor of 828, 210, 570, 870?

We can find the highest common divisor of 828, 210, 570, 870 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 828, 210, 570, 870 i.e 6.

3. How can I use the GCD of 828, 210, 570, 870Calculator?

Out the numbers 828, 210, 570, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.