GCD of 828, 150, 524, 412 Calculator

Given Input numbers are 828, 150, 524, 412

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 412 :

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

1, 2, 4, 103, 206, 412

GCD of numbers is the greatest common divisor

So, the GCD (828, 150, 524, 412) = 2.

Given numbers are 828, 150, 524, 412

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Prime factors of 524 are 2 x 2 x 131

Prime factors of 412 are 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 828, 150, 524, 412 is 2.

Given numbers are 828, 150, 524, 412

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

Apply this formula for all numbers.

Step1:

LCM(828, 150) = 20700

GCD(828, 150) = ( 828 x 150 ) / 20700

= 828 / 150

= 828

Step2:

LCM(6, 524) = 1572

GCD(6, 524) = ( 6 x 524 ) / 1572

= 6 / 524

= 6

Step3:

LCM(2, 412) = 412

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

= 2 / 412

= 2

So, Greatest Common Divisor of 828, 150, 524, 412 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 294, 360, 178, 888
• GCD of 570, 884, 842, 983
• GCD of 909, 514, 448, 769
• GCD of 643, 910, 335, 528
• GCD of 480, 168, 835, 187

Given numbers are 828, 150, 524, 412
The greatest common divisor of numbers 828, 150, 524, 412 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 150, 524, 412 is 2.

1. What is the GCD of 828, 150, 524, 412?

GCD of given numbers 828, 150, 524, 412 is 2

2. How to calculate the greatest common divisor of 828, 150, 524, 412?

We can find the highest common divisor of 828, 150, 524, 412 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 828, 150, 524, 412 i.e 2.

3. How can I use the GCD of 828, 150, 524, 412Calculator?

Out the numbers 828, 150, 524, 412 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.