GCD of 150, 400, 856, 568 Calculator

Given Input numbers are 150, 400, 856, 568

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 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 568 :

The positive integer divisors of 568 that completely divides 568 are.

1, 2, 4, 8, 71, 142, 284, 568

GCD of numbers is the greatest common divisor

So, the GCD (150, 400, 856, 568) = 2.

Given numbers are 150, 400, 856, 568

The list of prime factors of all numbers are

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

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 568 are 2 x 2 x 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 150, 400, 856, 568 is 2.

Given numbers are 150, 400, 856, 568

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

Apply this formula for all numbers.

Step1:

LCM(150, 400) = 1200

GCD(150, 400) = ( 150 x 400 ) / 1200

= 150 / 400

= 150

Step2:

LCM(50, 856) = 21400

GCD(50, 856) = ( 50 x 856 ) / 21400

= 50 / 856

= 50

Step3:

LCM(2, 568) = 568

GCD(2, 568) = ( 2 x 568 ) / 568

= 2 / 568

= 2

So, Greatest Common Divisor of 150, 400, 856, 568 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 807, 807, 930, 955
• GCD of 186, 390, 114, 328
• GCD of 873, 765, 428, 550
• GCD of 765, 903, 415, 705
• GCD of 264, 442, 447, 432

Given numbers are 150, 400, 856, 568
The greatest common divisor of numbers 150, 400, 856, 568 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 400, 856, 568 is 2.

1. What is the GCD of 150, 400, 856, 568?

GCD of given numbers 150, 400, 856, 568 is 2

2. How to calculate the greatest common divisor of 150, 400, 856, 568?

We can find the highest common divisor of 150, 400, 856, 568 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, 400, 856, 568 i.e 2.

3. How can I use the GCD of 150, 400, 856, 568Calculator?

Out the numbers 150, 400, 856, 568 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.