GCD of 221, 318, 507, 600 Calculator

Given Input numbers are 221, 318, 507, 600

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

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 507 :

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

1, 3, 13, 39, 169, 507

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (221, 318, 507, 600) = 1.

Given numbers are 221, 318, 507, 600

The list of prime factors of all numbers are

Prime factors of 221 are 13 x 17

Prime factors of 318 are 2 x 3 x 53

Prime factors of 507 are 3 x 13 x 13

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

Given numbers are 221, 318, 507, 600

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

Apply this formula for all numbers.

Step1:

LCM(221, 318) = 70278

GCD(221, 318) = ( 221 x 318 ) / 70278

= 221 / 318

= 221

Step2:

LCM(1, 507) = 507

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

= 1 / 507

= 1

Step3:

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

= 1 / 600

= 1

So, Greatest Common Divisor of 221, 318, 507, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 901, 665, 572
• GCD of 981, 336, 926, 589
• GCD of 753, 864, 818, 905
• GCD of 635, 819, 312, 696
• GCD of 183, 878, 426, 648

Given numbers are 221, 318, 507, 600
The greatest common divisor of numbers 221, 318, 507, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 221, 318, 507, 600 is 1.

1. What is the GCD of 221, 318, 507, 600?

GCD of given numbers 221, 318, 507, 600 is 1

2. How to calculate the greatest common divisor of 221, 318, 507, 600?

We can find the highest common divisor of 221, 318, 507, 600 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 221, 318, 507, 600 i.e 1.

3. How can I use the GCD of 221, 318, 507, 600Calculator?

Out the numbers 221, 318, 507, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.