GCD of 400, 928, 420, 506 Calculator

Given Input numbers are 400, 928, 420, 506

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 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (400, 928, 420, 506) = 2.

Given numbers are 400, 928, 420, 506

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 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 400, 928, 420, 506 is 2.

Given numbers are 400, 928, 420, 506

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

Apply this formula for all numbers.

Step1:

LCM(400, 928) = 23200

GCD(400, 928) = ( 400 x 928 ) / 23200

= 400 / 928

= 400

Step2:

LCM(16, 420) = 1680

GCD(16, 420) = ( 16 x 420 ) / 1680

= 16 / 420

= 16

Step3:

LCM(4, 506) = 1012

GCD(4, 506) = ( 4 x 506 ) / 1012

= 4 / 506

= 4

So, Greatest Common Divisor of 400, 928, 420, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 614, 771, 587, 797
• GCD of 151, 723, 918, 341
• GCD of 768, 184, 754, 353
• GCD of 203, 615, 562, 579
• GCD of 270, 531, 591, 154

Given numbers are 400, 928, 420, 506
The greatest common divisor of numbers 400, 928, 420, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 928, 420, 506 is 2.

1. What is the GCD of 400, 928, 420, 506?

GCD of given numbers 400, 928, 420, 506 is 2

2. How to calculate the greatest common divisor of 400, 928, 420, 506?

We can find the highest common divisor of 400, 928, 420, 506 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, 928, 420, 506 i.e 2.

3. How can I use the GCD of 400, 928, 420, 506Calculator?

Out the numbers 400, 928, 420, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.