GCD of 120, 753, 456, 592 Calculator

Given Input numbers are 120, 753, 456, 592

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 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 592 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (120, 753, 456, 592) = 1.

Given numbers are 120, 753, 456, 592

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 753 are 3 x 251

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 120, 753, 456, 592

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

Apply this formula for all numbers.

Step1:

LCM(120, 753) = 30120

GCD(120, 753) = ( 120 x 753 ) / 30120

= 120 / 753

= 120

Step2:

LCM(3, 456) = 456

GCD(3, 456) = ( 3 x 456 ) / 456

= 3 / 456

= 3

Step3:

LCM(3, 592) = 1776

GCD(3, 592) = ( 3 x 592 ) / 1776

= 3 / 592

= 3

So, Greatest Common Divisor of 120, 753, 456, 592 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 490, 652, 411
• GCD of 420, 876, 119, 548
• GCD of 362, 639, 628, 617
• GCD of 726, 311, 204, 592
• GCD of 196, 902, 148, 413

Given numbers are 120, 753, 456, 592
The greatest common divisor of numbers 120, 753, 456, 592 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 753, 456, 592 is 1.

1. What is the GCD of 120, 753, 456, 592?

GCD of given numbers 120, 753, 456, 592 is 1

2. How to calculate the greatest common divisor of 120, 753, 456, 592?

We can find the highest common divisor of 120, 753, 456, 592 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, 753, 456, 592 i.e 1.

3. How can I use the GCD of 120, 753, 456, 592Calculator?

Out the numbers 120, 753, 456, 592 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.