GCD of 400, 556, 162, 746 Calculator

Given Input numbers are 400, 556, 162, 746

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

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 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (400, 556, 162, 746) = 2.

Given numbers are 400, 556, 162, 746

The list of prime factors of all numbers are

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

Prime factors of 556 are 2 x 2 x 139

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 746 are 2 x 373

The highest common occurrence is 2¹

Therefore, GCD of 400, 556, 162, 746 is 2.

Given numbers are 400, 556, 162, 746

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

Apply this formula for all numbers.

Step1:

LCM(400, 556) = 55600

GCD(400, 556) = ( 400 x 556 ) / 55600

= 400 / 556

= 400

Step2:

LCM(4, 162) = 324

GCD(4, 162) = ( 4 x 162 ) / 324

= 4 / 162

= 4

Step3:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

So, Greatest Common Divisor of 400, 556, 162, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 853, 583, 332, 582
• GCD of 585, 652, 934, 681
• GCD of 336, 510, 414, 752
• GCD of 100, 582, 923, 151
• GCD of 936, 303, 955, 247

Given numbers are 400, 556, 162, 746
The greatest common divisor of numbers 400, 556, 162, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 556, 162, 746 is 2.

1. What is the GCD of 400, 556, 162, 746?

GCD of given numbers 400, 556, 162, 746 is 2

2. How to calculate the greatest common divisor of 400, 556, 162, 746?

We can find the highest common divisor of 400, 556, 162, 746 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 400, 556, 162, 746 i.e 2.

3. How can I use the GCD of 400, 556, 162, 746Calculator?

Out the numbers 400, 556, 162, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.