GCD of 150, 342, 912, 867 Calculator

Given Input numbers are 150, 342, 912, 867

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 867 :

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

1, 3, 17, 51, 289, 867

GCD of numbers is the greatest common divisor

So, the GCD (150, 342, 912, 867) = 3.

Given numbers are 150, 342, 912, 867

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 867 are 3 x 17 x 17

The highest common occurrence is 3¹

Therefore, GCD of 150, 342, 912, 867 is 3.

Given numbers are 150, 342, 912, 867

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

Apply this formula for all numbers.

Step1:

LCM(150, 342) = 8550

GCD(150, 342) = ( 150 x 342 ) / 8550

= 150 / 342

= 150

Step2:

LCM(6, 912) = 912

GCD(6, 912) = ( 6 x 912 ) / 912

= 6 / 912

= 6

Step3:

LCM(6, 867) = 1734

GCD(6, 867) = ( 6 x 867 ) / 1734

= 6 / 867

= 6

So, Greatest Common Divisor of 150, 342, 912, 867 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 788, 838, 134, 535
• GCD of 192, 389, 664, 127
• GCD of 431, 188, 690, 673
• GCD of 121, 626, 864, 848
• GCD of 306, 507, 462, 888

Given numbers are 150, 342, 912, 867
The greatest common divisor of numbers 150, 342, 912, 867 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 342, 912, 867 is 3.

1. What is the GCD of 150, 342, 912, 867?

GCD of given numbers 150, 342, 912, 867 is 3

2. How to calculate the greatest common divisor of 150, 342, 912, 867?

We can find the highest common divisor of 150, 342, 912, 867 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 150, 342, 912, 867 i.e 3.

3. How can I use the GCD of 150, 342, 912, 867Calculator?

Out the numbers 150, 342, 912, 867 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.