GCD of 303, 493, 360, 538 Calculator

Given Input numbers are 303, 493, 360, 538

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

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (303, 493, 360, 538) = 1.

Given numbers are 303, 493, 360, 538

The list of prime factors of all numbers are

Prime factors of 303 are 3 x 101

Prime factors of 493 are 17 x 29

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 538 are 2 x 269

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

Given numbers are 303, 493, 360, 538

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

Apply this formula for all numbers.

Step1:

LCM(303, 493) = 149379

GCD(303, 493) = ( 303 x 493 ) / 149379

= 303 / 493

= 303

Step2:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

Step3:

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

= 1 / 538

= 1

So, Greatest Common Divisor of 303, 493, 360, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 747, 788, 739, 895
• GCD of 710, 898, 761, 549
• GCD of 743, 274, 351, 487
• GCD of 811, 401, 993, 752
• GCD of 912, 123, 265, 685

Given numbers are 303, 493, 360, 538
The greatest common divisor of numbers 303, 493, 360, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 303, 493, 360, 538 is 1.

1. What is the GCD of 303, 493, 360, 538?

GCD of given numbers 303, 493, 360, 538 is 1

2. How to calculate the greatest common divisor of 303, 493, 360, 538?

We can find the highest common divisor of 303, 493, 360, 538 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 303, 493, 360, 538 i.e 1.

3. How can I use the GCD of 303, 493, 360, 538Calculator?

Out the numbers 303, 493, 360, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.