GCD of 870, 396, 330, 538 Calculator

Given Input numbers are 870, 396, 330, 538

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

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (870, 396, 330, 538) = 2.

Given numbers are 870, 396, 330, 538

The list of prime factors of all numbers are

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

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 538 are 2 x 269

The highest common occurrence is 2¹

Therefore, GCD of 870, 396, 330, 538 is 2.

Given numbers are 870, 396, 330, 538

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

Apply this formula for all numbers.

Step1:

LCM(870, 396) = 57420

GCD(870, 396) = ( 870 x 396 ) / 57420

= 870 / 396

= 870

Step2:

LCM(6, 330) = 330

GCD(6, 330) = ( 6 x 330 ) / 330

= 6 / 330

= 6

Step3:

LCM(6, 538) = 1614

GCD(6, 538) = ( 6 x 538 ) / 1614

= 6 / 538

= 6

So, Greatest Common Divisor of 870, 396, 330, 538 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 599, 101, 635, 572
• GCD of 894, 960, 684, 178
• GCD of 282, 545, 406, 966
• GCD of 693, 335, 190, 831
• GCD of 959, 503, 104, 133

Given numbers are 870, 396, 330, 538
The greatest common divisor of numbers 870, 396, 330, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 396, 330, 538 is 2.

1. What is the GCD of 870, 396, 330, 538?

GCD of given numbers 870, 396, 330, 538 is 2

2. How to calculate the greatest common divisor of 870, 396, 330, 538?

We can find the highest common divisor of 870, 396, 330, 538 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 870, 396, 330, 538 i.e 2.

3. How can I use the GCD of 870, 396, 330, 538Calculator?

Out the numbers 870, 396, 330, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.