GCD of 152, 360, 600, 493 Calculator

Given Input numbers are 152, 360, 600, 493

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

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

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 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

Divisors of 493 :

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

1, 17, 29, 493

GCD of numbers is the greatest common divisor

So, the GCD (152, 360, 600, 493) = 1.

Given numbers are 152, 360, 600, 493

The list of prime factors of all numbers are

Prime factors of 152 are 2 x 2 x 2 x 19

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

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

Prime factors of 493 are 17 x 29

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

Given numbers are 152, 360, 600, 493

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

Apply this formula for all numbers.

Step1:

LCM(152, 360) = 6840

GCD(152, 360) = ( 152 x 360 ) / 6840

= 152 / 360

= 152

Step2:

LCM(8, 600) = 600

GCD(8, 600) = ( 8 x 600 ) / 600

= 8 / 600

= 8

Step3:

LCM(8, 493) = 3944

GCD(8, 493) = ( 8 x 493 ) / 3944

= 8 / 493

= 8

So, Greatest Common Divisor of 152, 360, 600, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 996, 287, 234
• GCD of 234, 999, 237, 669
• GCD of 518, 527, 372, 172
• GCD of 168, 250, 220, 822
• GCD of 847, 770, 612, 401

Given numbers are 152, 360, 600, 493
The greatest common divisor of numbers 152, 360, 600, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 360, 600, 493 is 1.

1. What is the GCD of 152, 360, 600, 493?

GCD of given numbers 152, 360, 600, 493 is 1

2. How to calculate the greatest common divisor of 152, 360, 600, 493?

We can find the highest common divisor of 152, 360, 600, 493 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 152, 360, 600, 493 i.e 1.

3. How can I use the GCD of 152, 360, 600, 493Calculator?

Out the numbers 152, 360, 600, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.