GCD of 592, 872, 722, 120 Calculator

Given Input numbers are 592, 872, 722, 120

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

Divisors of 592 :

The positive integer divisors of 592 that completely divides 592 are.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

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 (592, 872, 722, 120) = 2.

Given numbers are 592, 872, 722, 120

The list of prime factors of all numbers are

Prime factors of 592 are 2 x 2 x 2 x 2 x 37

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 722 are 2 x 19 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 592, 872, 722, 120 is 2.

Given numbers are 592, 872, 722, 120

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

Apply this formula for all numbers.

Step1:

LCM(592, 872) = 64528

GCD(592, 872) = ( 592 x 872 ) / 64528

= 592 / 872

= 592

Step2:

LCM(8, 722) = 2888

GCD(8, 722) = ( 8 x 722 ) / 2888

= 8 / 722

= 8

Step3:

LCM(2, 120) = 120

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

= 2 / 120

= 2

So, Greatest Common Divisor of 592, 872, 722, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 830, 244, 345
• GCD of 823, 236, 325, 839
• GCD of 798, 236, 922, 487
• GCD of 838, 618, 903, 618
• GCD of 291, 553, 208, 792

Given numbers are 592, 872, 722, 120
The greatest common divisor of numbers 592, 872, 722, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 592, 872, 722, 120 is 2.

1. What is the GCD of 592, 872, 722, 120?

GCD of given numbers 592, 872, 722, 120 is 2

2. How to calculate the greatest common divisor of 592, 872, 722, 120?

We can find the highest common divisor of 592, 872, 722, 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 592, 872, 722, 120 i.e 2.

3. How can I use the GCD of 592, 872, 722, 120Calculator?

Out the numbers 592, 872, 722, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.