GCD of 400, 628, 518, 912 Calculator

Given Input numbers are 400, 628, 518, 912

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 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

GCD of numbers is the greatest common divisor

So, the GCD (400, 628, 518, 912) = 2.

Given numbers are 400, 628, 518, 912

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 628 are 2 x 2 x 157

Prime factors of 518 are 2 x 7 x 37

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 400, 628, 518, 912 is 2.

Given numbers are 400, 628, 518, 912

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

Apply this formula for all numbers.

Step1:

LCM(400, 628) = 62800

GCD(400, 628) = ( 400 x 628 ) / 62800

= 400 / 628

= 400

Step2:

LCM(4, 518) = 1036

GCD(4, 518) = ( 4 x 518 ) / 1036

= 4 / 518

= 4

Step3:

LCM(2, 912) = 912

GCD(2, 912) = ( 2 x 912 ) / 912

= 2 / 912

= 2

So, Greatest Common Divisor of 400, 628, 518, 912 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 404, 138, 234
• GCD of 999, 827, 305, 832
• GCD of 670, 560, 887, 691
• GCD of 616, 403, 819, 766
• GCD of 105, 308, 688, 340

Given numbers are 400, 628, 518, 912
The greatest common divisor of numbers 400, 628, 518, 912 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 628, 518, 912 is 2.

1. What is the GCD of 400, 628, 518, 912?

GCD of given numbers 400, 628, 518, 912 is 2

2. How to calculate the greatest common divisor of 400, 628, 518, 912?

We can find the highest common divisor of 400, 628, 518, 912 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, 628, 518, 912 i.e 2.

3. How can I use the GCD of 400, 628, 518, 912Calculator?

Out the numbers 400, 628, 518, 912 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.