GCD of 888, 570, 825, 420 Calculator

Given Input numbers are 888, 570, 825, 420

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

Divisors of 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

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 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (888, 570, 825, 420) = 3.

Given numbers are 888, 570, 825, 420

The list of prime factors of all numbers are

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

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

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 888, 570, 825, 420 is 3.

Given numbers are 888, 570, 825, 420

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

Apply this formula for all numbers.

Step1:

LCM(888, 570) = 84360

GCD(888, 570) = ( 888 x 570 ) / 84360

= 888 / 570

= 888

Step2:

LCM(6, 825) = 1650

GCD(6, 825) = ( 6 x 825 ) / 1650

= 6 / 825

= 6

Step3:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

So, Greatest Common Divisor of 888, 570, 825, 420 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 426, 966, 385
• GCD of 725, 164, 947, 258
• GCD of 499, 242, 792, 145
• GCD of 807, 850, 834, 187
• GCD of 662, 685, 773, 756

Given numbers are 888, 570, 825, 420
The greatest common divisor of numbers 888, 570, 825, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 888, 570, 825, 420 is 3.

1. What is the GCD of 888, 570, 825, 420?

GCD of given numbers 888, 570, 825, 420 is 3

2. How to calculate the greatest common divisor of 888, 570, 825, 420?

We can find the highest common divisor of 888, 570, 825, 420 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 888, 570, 825, 420 i.e 3.

3. How can I use the GCD of 888, 570, 825, 420Calculator?

Out the numbers 888, 570, 825, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.