GCD of 597, 993, 384, 360 Calculator

Given Input numbers are 597, 993, 384, 360

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

Divisors of 597 :

The positive integer divisors of 597 that completely divides 597 are.

1, 3, 199, 597

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

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

GCD of numbers is the greatest common divisor

So, the GCD (597, 993, 384, 360) = 3.

Given numbers are 597, 993, 384, 360

The list of prime factors of all numbers are

Prime factors of 597 are 3 x 199

Prime factors of 993 are 3 x 331

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

The highest common occurrence is 3¹

Therefore, GCD of 597, 993, 384, 360 is 3.

Given numbers are 597, 993, 384, 360

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

Apply this formula for all numbers.

Step1:

LCM(597, 993) = 197607

GCD(597, 993) = ( 597 x 993 ) / 197607

= 597 / 993

= 597

Step2:

LCM(3, 384) = 384

GCD(3, 384) = ( 3 x 384 ) / 384

= 3 / 384

= 3

Step3:

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

= 3 / 360

= 3

So, Greatest Common Divisor of 597, 993, 384, 360 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 881, 784, 680, 283
• GCD of 658, 401, 100, 907
• GCD of 647, 719, 862, 865
• GCD of 518, 362, 740, 996
• GCD of 584, 949, 949, 481

Given numbers are 597, 993, 384, 360
The greatest common divisor of numbers 597, 993, 384, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 597, 993, 384, 360 is 3.

1. What is the GCD of 597, 993, 384, 360?

GCD of given numbers 597, 993, 384, 360 is 3

2. How to calculate the greatest common divisor of 597, 993, 384, 360?

We can find the highest common divisor of 597, 993, 384, 360 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 597, 993, 384, 360 i.e 3.

3. How can I use the GCD of 597, 993, 384, 360Calculator?

Out the numbers 597, 993, 384, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.