GCD of 150, 854, 412, 624 Calculator

Given Input numbers are 150, 854, 412, 624

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 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

GCD of numbers is the greatest common divisor

So, the GCD (150, 854, 412, 624) = 2.

Given numbers are 150, 854, 412, 624

The list of prime factors of all numbers are

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

Prime factors of 854 are 2 x 7 x 61

Prime factors of 412 are 2 x 2 x 103

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 150, 854, 412, 624 is 2.

Given numbers are 150, 854, 412, 624

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

Apply this formula for all numbers.

Step1:

LCM(150, 854) = 64050

GCD(150, 854) = ( 150 x 854 ) / 64050

= 150 / 854

= 150

Step2:

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

= 2 / 412

= 2

Step3:

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

= 2 / 624

= 2

So, Greatest Common Divisor of 150, 854, 412, 624 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 680, 837, 562, 259
• GCD of 331, 255, 860, 583
• GCD of 608, 687, 430, 173
• GCD of 232, 875, 923, 324
• GCD of 686, 327, 500, 109

Given numbers are 150, 854, 412, 624
The greatest common divisor of numbers 150, 854, 412, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 854, 412, 624 is 2.

1. What is the GCD of 150, 854, 412, 624?

GCD of given numbers 150, 854, 412, 624 is 2

2. How to calculate the greatest common divisor of 150, 854, 412, 624?

We can find the highest common divisor of 150, 854, 412, 624 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, 854, 412, 624 i.e 2.

3. How can I use the GCD of 150, 854, 412, 624Calculator?

Out the numbers 150, 854, 412, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.