GCD of 768, 120, 392, 590 Calculator

Given Input numbers are 768, 120, 392, 590

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

GCD of numbers is the greatest common divisor

So, the GCD (768, 120, 392, 590) = 2.

Given numbers are 768, 120, 392, 590

The list of prime factors of all numbers are

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 590 are 2 x 5 x 59

The highest common occurrence is 2¹

Therefore, GCD of 768, 120, 392, 590 is 2.

Given numbers are 768, 120, 392, 590

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

Apply this formula for all numbers.

Step1:

LCM(768, 120) = 3840

GCD(768, 120) = ( 768 x 120 ) / 3840

= 768 / 120

= 768

Step2:

LCM(24, 392) = 1176

GCD(24, 392) = ( 24 x 392 ) / 1176

= 24 / 392

= 24

Step3:

LCM(8, 590) = 2360

GCD(8, 590) = ( 8 x 590 ) / 2360

= 8 / 590

= 8

So, Greatest Common Divisor of 768, 120, 392, 590 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 848, 930, 245
• GCD of 334, 591, 595, 975
• GCD of 114, 297, 965, 483
• GCD of 430, 187, 367, 835
• GCD of 792, 607, 130, 391

Given numbers are 768, 120, 392, 590
The greatest common divisor of numbers 768, 120, 392, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 120, 392, 590 is 2.

1. What is the GCD of 768, 120, 392, 590?

GCD of given numbers 768, 120, 392, 590 is 2

2. How to calculate the greatest common divisor of 768, 120, 392, 590?

We can find the highest common divisor of 768, 120, 392, 590 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 768, 120, 392, 590 i.e 2.

3. How can I use the GCD of 768, 120, 392, 590Calculator?

Out the numbers 768, 120, 392, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.