GCD of 400, 230, 920, 496 Calculator

Given Input numbers are 400, 230, 920, 496

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 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

GCD of numbers is the greatest common divisor

So, the GCD (400, 230, 920, 496) = 2.

Given numbers are 400, 230, 920, 496

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 230 are 2 x 5 x 23

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 400, 230, 920, 496 is 2.

Given numbers are 400, 230, 920, 496

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

Apply this formula for all numbers.

Step1:

LCM(400, 230) = 9200

GCD(400, 230) = ( 400 x 230 ) / 9200

= 400 / 230

= 400

Step2:

LCM(10, 920) = 920

GCD(10, 920) = ( 10 x 920 ) / 920

= 10 / 920

= 10

Step3:

LCM(10, 496) = 2480

GCD(10, 496) = ( 10 x 496 ) / 2480

= 10 / 496

= 10

So, Greatest Common Divisor of 400, 230, 920, 496 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 699, 665, 694
• GCD of 228, 264, 283, 628
• GCD of 387, 505, 784, 376
• GCD of 814, 713, 471, 882
• GCD of 891, 301, 702, 445

Given numbers are 400, 230, 920, 496
The greatest common divisor of numbers 400, 230, 920, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 230, 920, 496 is 2.

1. What is the GCD of 400, 230, 920, 496?

GCD of given numbers 400, 230, 920, 496 is 2

2. How to calculate the greatest common divisor of 400, 230, 920, 496?

We can find the highest common divisor of 400, 230, 920, 496 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, 230, 920, 496 i.e 2.

3. How can I use the GCD of 400, 230, 920, 496Calculator?

Out the numbers 400, 230, 920, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.