GCD of 384, 702, 759, 993 Calculator

Given Input numbers are 384, 702, 759, 993

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

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 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

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 (384, 702, 759, 993) = 3.

Given numbers are 384, 702, 759, 993

The list of prime factors of all numbers are

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

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 759 are 3 x 11 x 23

Prime factors of 993 are 3 x 331

The highest common occurrence is 3¹

Therefore, GCD of 384, 702, 759, 993 is 3.

Given numbers are 384, 702, 759, 993

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

Apply this formula for all numbers.

Step1:

LCM(384, 702) = 44928

GCD(384, 702) = ( 384 x 702 ) / 44928

= 384 / 702

= 384

Step2:

LCM(6, 759) = 1518

GCD(6, 759) = ( 6 x 759 ) / 1518

= 6 / 759

= 6

Step3:

LCM(3, 993) = 993

GCD(3, 993) = ( 3 x 993 ) / 993

= 3 / 993

= 3

So, Greatest Common Divisor of 384, 702, 759, 993 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 736, 886, 538, 348
• GCD of 419, 412, 711, 325
• GCD of 836, 113, 317, 960
• GCD of 388, 918, 827, 832
• GCD of 482, 349, 509, 811

Given numbers are 384, 702, 759, 993
The greatest common divisor of numbers 384, 702, 759, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 702, 759, 993 is 3.

1. What is the GCD of 384, 702, 759, 993?

GCD of given numbers 384, 702, 759, 993 is 3

2. How to calculate the greatest common divisor of 384, 702, 759, 993?

We can find the highest common divisor of 384, 702, 759, 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 384, 702, 759, 993 i.e 3.

3. How can I use the GCD of 384, 702, 759, 993Calculator?

Out the numbers 384, 702, 759, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.