GCD of 200, 317, 507, 242 Calculator

Given Input numbers are 200, 317, 507, 242

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 317 :

The positive integer divisors of 317 that completely divides 317 are.

1, 317

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (200, 317, 507, 242) = 1.

Given numbers are 200, 317, 507, 242

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 317 are 317

Prime factors of 507 are 3 x 13 x 13

Prime factors of 242 are 2 x 11 x 11

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

Given numbers are 200, 317, 507, 242

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

Apply this formula for all numbers.

Step1:

LCM(200, 317) = 63400

GCD(200, 317) = ( 200 x 317 ) / 63400

= 200 / 317

= 200

Step2:

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

= 1 / 507

= 1

Step3:

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

= 1 / 242

= 1

So, Greatest Common Divisor of 200, 317, 507, 242 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 982, 258, 791, 419
• GCD of 788, 549, 293, 372
• GCD of 442, 203, 806, 303
• GCD of 567, 517, 919, 276
• GCD of 630, 602, 959, 767

Given numbers are 200, 317, 507, 242
The greatest common divisor of numbers 200, 317, 507, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 317, 507, 242 is 1.

1. What is the GCD of 200, 317, 507, 242?

GCD of given numbers 200, 317, 507, 242 is 1

2. How to calculate the greatest common divisor of 200, 317, 507, 242?

We can find the highest common divisor of 200, 317, 507, 242 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, 317, 507, 242 i.e 1.

3. How can I use the GCD of 200, 317, 507, 242Calculator?

Out the numbers 200, 317, 507, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.