GCD of 400, 356, 162 Calculator

Given Input numbers are 400, 356, 162

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 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 162 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (400, 356, 162) = 2.

Given numbers are 400, 356, 162

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 356 are 2 x 2 x 89

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

The highest common occurrence is 2¹

Therefore, GCD of 400, 356, 162 is 2.

Given numbers are 400, 356, 162

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

Apply this formula for all numbers.

Step1:

LCM(400, 356) = 35600

GCD(400, 356) = ( 400 x 356 ) / 35600

= 400 / 356

= 400

Step2:

LCM(4, 162) = 324

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

= 4 / 162

= 4

So, Greatest Common Divisor of 400, 356, 162 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 896, 354
• GCD of 781, 243, 319
• GCD of 982, 231, 260
• GCD of 926, 920, 615
• GCD of 148, 417, 119

Given numbers are 400, 356, 162
The greatest common divisor of numbers 400, 356, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 356, 162 is 2.

1. What is the GCD of 400, 356, 162?

GCD of given numbers 400, 356, 162 is 2

2. How to calculate the greatest common divisor of 400, 356, 162?

We can find the highest common divisor of 400, 356, 162 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, 356, 162 i.e 2.

3. How can I use the GCD of 400, 356, 162Calculator?

Out the numbers 400, 356, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.