GCD of 200, 411, 508, 442 Calculator

Given Input numbers are 200, 411, 508, 442

In the factoring method, we have to find the divisors of all numbers

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 411 :

The positive integer divisors of 411 that completely divides 411 are.

1, 3, 137, 411

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (200, 411, 508, 442) = 1.

Given numbers are 200, 411, 508, 442

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 411 are 3 x 137

Prime factors of 508 are 2 x 2 x 127

Prime factors of 442 are 2 x 13 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 200, 411, 508, 442

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

Apply this formula for all numbers.

Step1:

LCM(200, 411) = 82200

GCD(200, 411) = ( 200 x 411 ) / 82200

= 200 / 411

= 200

Step2:

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

= 1 / 508

= 1

Step3:

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

= 1 / 442

= 1

So, Greatest Common Divisor of 200, 411, 508, 442 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 434, 351, 995, 104
• GCD of 612, 656, 117, 622
• GCD of 517, 114, 424, 958
• GCD of 507, 653, 752, 566
• GCD of 437, 277, 274, 219

Given numbers are 200, 411, 508, 442
The greatest common divisor of numbers 200, 411, 508, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 411, 508, 442 is 1.

1. What is the GCD of 200, 411, 508, 442?

GCD of given numbers 200, 411, 508, 442 is 1

2. How to calculate the greatest common divisor of 200, 411, 508, 442?

We can find the highest common divisor of 200, 411, 508, 442 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 200, 411, 508, 442 i.e 1.

3. How can I use the GCD of 200, 411, 508, 442Calculator?

Out the numbers 200, 411, 508, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.