GCD of 580, 768, 994, 120 Calculator

Given Input numbers are 580, 768, 994, 120

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

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

GCD of numbers is the greatest common divisor

So, the GCD (580, 768, 994, 120) = 2.

Given numbers are 580, 768, 994, 120

The list of prime factors of all numbers are

Prime factors of 580 are 2 x 2 x 5 x 29

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 994 are 2 x 7 x 71

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

The highest common occurrence is 2¹

Therefore, GCD of 580, 768, 994, 120 is 2.

Given numbers are 580, 768, 994, 120

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

Apply this formula for all numbers.

Step1:

LCM(580, 768) = 111360

GCD(580, 768) = ( 580 x 768 ) / 111360

= 580 / 768

= 580

Step2:

LCM(4, 994) = 1988

GCD(4, 994) = ( 4 x 994 ) / 1988

= 4 / 994

= 4

Step3:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

So, Greatest Common Divisor of 580, 768, 994, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 891, 751, 585, 629
• GCD of 855, 424, 136, 304
• GCD of 702, 137, 810, 655
• GCD of 534, 627, 458, 956
• GCD of 535, 761, 501, 803

Given numbers are 580, 768, 994, 120
The greatest common divisor of numbers 580, 768, 994, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 768, 994, 120 is 2.

1. What is the GCD of 580, 768, 994, 120?

GCD of given numbers 580, 768, 994, 120 is 2

2. How to calculate the greatest common divisor of 580, 768, 994, 120?

We can find the highest common divisor of 580, 768, 994, 120 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 580, 768, 994, 120 i.e 2.

3. How can I use the GCD of 580, 768, 994, 120Calculator?

Out the numbers 580, 768, 994, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.