GCD of 387, 576, 782, 993 Calculator

Given Input numbers are 387, 576, 782, 993

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

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 993 :

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

1, 3, 331, 993

GCD of numbers is the greatest common divisor

So, the GCD (387, 576, 782, 993) = 1.

Given numbers are 387, 576, 782, 993

The list of prime factors of all numbers are

Prime factors of 387 are 3 x 3 x 43

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 782 are 2 x 17 x 23

Prime factors of 993 are 3 x 331

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

Given numbers are 387, 576, 782, 993

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

Apply this formula for all numbers.

Step1:

LCM(387, 576) = 24768

GCD(387, 576) = ( 387 x 576 ) / 24768

= 387 / 576

= 387

Step2:

LCM(9, 782) = 7038

GCD(9, 782) = ( 9 x 782 ) / 7038

= 9 / 782

= 9

Step3:

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

= 1 / 993

= 1

So, Greatest Common Divisor of 387, 576, 782, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 420, 923, 856
• GCD of 821, 923, 994, 711
• GCD of 901, 524, 242, 554
• GCD of 963, 807, 146, 531
• GCD of 740, 970, 194, 775

Given numbers are 387, 576, 782, 993
The greatest common divisor of numbers 387, 576, 782, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 576, 782, 993 is 1.

1. What is the GCD of 387, 576, 782, 993?

GCD of given numbers 387, 576, 782, 993 is 1

2. How to calculate the greatest common divisor of 387, 576, 782, 993?

We can find the highest common divisor of 387, 576, 782, 993 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 387, 576, 782, 993 i.e 1.

3. How can I use the GCD of 387, 576, 782, 993Calculator?

Out the numbers 387, 576, 782, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.