GCD of 408, 992, 120, 609 Calculator

Given Input numbers are 408, 992, 120, 609

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

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 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

GCD of numbers is the greatest common divisor

So, the GCD (408, 992, 120, 609) = 1.

Given numbers are 408, 992, 120, 609

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

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

Prime factors of 609 are 3 x 7 x 29

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

Given numbers are 408, 992, 120, 609

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

Apply this formula for all numbers.

Step1:

LCM(408, 992) = 50592

GCD(408, 992) = ( 408 x 992 ) / 50592

= 408 / 992

= 408

Step2:

LCM(8, 120) = 120

GCD(8, 120) = ( 8 x 120 ) / 120

= 8 / 120

= 8

Step3:

LCM(8, 609) = 4872

GCD(8, 609) = ( 8 x 609 ) / 4872

= 8 / 609

= 8

So, Greatest Common Divisor of 408, 992, 120, 609 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 577, 764, 531
• GCD of 946, 355, 780, 216
• GCD of 963, 874, 832, 562
• GCD of 709, 899, 120, 419
• GCD of 460, 112, 686, 399

Given numbers are 408, 992, 120, 609
The greatest common divisor of numbers 408, 992, 120, 609 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 992, 120, 609 is 1.

1. What is the GCD of 408, 992, 120, 609?

GCD of given numbers 408, 992, 120, 609 is 1

2. How to calculate the greatest common divisor of 408, 992, 120, 609?

We can find the highest common divisor of 408, 992, 120, 609 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 408, 992, 120, 609 i.e 1.

3. How can I use the GCD of 408, 992, 120, 609Calculator?

Out the numbers 408, 992, 120, 609 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.