GCD of 120, 856, 568, 790 Calculator

Given Input numbers are 120, 856, 568, 790

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

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 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 568 :

The positive integer divisors of 568 that completely divides 568 are.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

GCD of numbers is the greatest common divisor

So, the GCD (120, 856, 568, 790) = 2.

Given numbers are 120, 856, 568, 790

The list of prime factors of all numbers are

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

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 568 are 2 x 2 x 2 x 71

Prime factors of 790 are 2 x 5 x 79

The highest common occurrence is 2¹

Therefore, GCD of 120, 856, 568, 790 is 2.

Given numbers are 120, 856, 568, 790

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

Apply this formula for all numbers.

Step1:

LCM(120, 856) = 12840

GCD(120, 856) = ( 120 x 856 ) / 12840

= 120 / 856

= 120

Step2:

LCM(8, 568) = 568

GCD(8, 568) = ( 8 x 568 ) / 568

= 8 / 568

= 8

Step3:

LCM(8, 790) = 3160

GCD(8, 790) = ( 8 x 790 ) / 3160

= 8 / 790

= 8

So, Greatest Common Divisor of 120, 856, 568, 790 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 922, 327, 689
• GCD of 678, 922, 473, 918
• GCD of 475, 593, 146, 104
• GCD of 838, 982, 809, 462
• GCD of 307, 224, 964, 629

Given numbers are 120, 856, 568, 790
The greatest common divisor of numbers 120, 856, 568, 790 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 856, 568, 790 is 2.

1. What is the GCD of 120, 856, 568, 790?

GCD of given numbers 120, 856, 568, 790 is 2

2. How to calculate the greatest common divisor of 120, 856, 568, 790?

We can find the highest common divisor of 120, 856, 568, 790 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 120, 856, 568, 790 i.e 2.

3. How can I use the GCD of 120, 856, 568, 790Calculator?

Out the numbers 120, 856, 568, 790 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.