GCD of 400, 412, 882, 388 Calculator

Given Input numbers are 400, 412, 882, 388

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 412 :

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

1, 2, 4, 103, 206, 412

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

GCD of numbers is the greatest common divisor

So, the GCD (400, 412, 882, 388) = 2.

Given numbers are 400, 412, 882, 388

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 412 are 2 x 2 x 103

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 388 are 2 x 2 x 97

The highest common occurrence is 2¹

Therefore, GCD of 400, 412, 882, 388 is 2.

Given numbers are 400, 412, 882, 388

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

Apply this formula for all numbers.

Step1:

LCM(400, 412) = 41200

GCD(400, 412) = ( 400 x 412 ) / 41200

= 400 / 412

= 400

Step2:

LCM(4, 882) = 1764

GCD(4, 882) = ( 4 x 882 ) / 1764

= 4 / 882

= 4

Step3:

LCM(2, 388) = 388

GCD(2, 388) = ( 2 x 388 ) / 388

= 2 / 388

= 2

So, Greatest Common Divisor of 400, 412, 882, 388 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 683, 151, 760, 696
• GCD of 703, 951, 716, 535
• GCD of 936, 600, 923, 837
• GCD of 891, 799, 112, 661
• GCD of 675, 100, 670, 600

Given numbers are 400, 412, 882, 388
The greatest common divisor of numbers 400, 412, 882, 388 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 412, 882, 388 is 2.

1. What is the GCD of 400, 412, 882, 388?

GCD of given numbers 400, 412, 882, 388 is 2

2. How to calculate the greatest common divisor of 400, 412, 882, 388?

We can find the highest common divisor of 400, 412, 882, 388 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, 412, 882, 388 i.e 2.

3. How can I use the GCD of 400, 412, 882, 388Calculator?

Out the numbers 400, 412, 882, 388 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.