GCD of 120, 392, 458, 983 Calculator

Given Input numbers are 120, 392, 458, 983

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 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 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

Divisors of 983 :

The positive integer divisors of 983 that completely divides 983 are.

1, 983

GCD of numbers is the greatest common divisor

So, the GCD (120, 392, 458, 983) = 1.

Given numbers are 120, 392, 458, 983

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 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 458 are 2 x 229

Prime factors of 983 are 983

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

Given numbers are 120, 392, 458, 983

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

Apply this formula for all numbers.

Step1:

LCM(120, 392) = 5880

GCD(120, 392) = ( 120 x 392 ) / 5880

= 120 / 392

= 120

Step2:

LCM(8, 458) = 1832

GCD(8, 458) = ( 8 x 458 ) / 1832

= 8 / 458

= 8

Step3:

LCM(2, 983) = 1966

GCD(2, 983) = ( 2 x 983 ) / 1966

= 2 / 983

= 2

So, Greatest Common Divisor of 120, 392, 458, 983 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 508, 583, 619
• GCD of 621, 725, 673, 401
• GCD of 277, 127, 596, 275
• GCD of 445, 744, 366, 992
• GCD of 313, 978, 685, 355

Given numbers are 120, 392, 458, 983
The greatest common divisor of numbers 120, 392, 458, 983 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 392, 458, 983 is 1.

1. What is the GCD of 120, 392, 458, 983?

GCD of given numbers 120, 392, 458, 983 is 1

2. How to calculate the greatest common divisor of 120, 392, 458, 983?

We can find the highest common divisor of 120, 392, 458, 983 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, 392, 458, 983 i.e 1.

3. How can I use the GCD of 120, 392, 458, 983Calculator?

Out the numbers 120, 392, 458, 983 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.