GCD of 867, 507, 30 Calculator

Given Input numbers are 867, 507, 30

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

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

GCD of numbers is the greatest common divisor

So, the GCD (867, 507, 30) = 3.

Given numbers are 867, 507, 30

The list of prime factors of all numbers are

Prime factors of 867 are 3 x 17 x 17

Prime factors of 507 are 3 x 13 x 13

Prime factors of 30 are 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 867, 507, 30 is 3.

Given numbers are 867, 507, 30

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

Apply this formula for all numbers.

Step1:

LCM(867, 507) = 146523

GCD(867, 507) = ( 867 x 507 ) / 146523

= 867 / 507

= 867

Step2:

LCM(3, 30) = 30

GCD(3, 30) = ( 3 x 30 ) / 30

= 3 / 30

= 3

So, Greatest Common Divisor of 867, 507, 30 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 621, 247, 13
• GCD of 987, 747, 48
• GCD of 620, 188, 68
• GCD of 444, 441, 15
• GCD of 572, 123, 46

Given numbers are 867, 507, 30
The greatest common divisor of numbers 867, 507, 30 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 867, 507, 30 is 3.

1. What is the GCD of 867, 507, 30?

GCD of given numbers 867, 507, 30 is 3

2. How to calculate the greatest common divisor of 867, 507, 30?

We can find the highest common divisor of 867, 507, 30 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 867, 507, 30 i.e 3.

3. How can I use the GCD of 867, 507, 30Calculator?

Out the numbers 867, 507, 30 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.