GCD of 442, 769, 408, 120 Calculator

Given Input numbers are 442, 769, 408, 120

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 769 :

The positive integer divisors of 769 that completely divides 769 are.

1, 769

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 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 (442, 769, 408, 120) = 1.

Given numbers are 442, 769, 408, 120

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 769 are 769

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

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

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

Given numbers are 442, 769, 408, 120

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

Apply this formula for all numbers.

Step1:

LCM(442, 769) = 339898

GCD(442, 769) = ( 442 x 769 ) / 339898

= 442 / 769

= 442

Step2:

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

= 1 / 408

= 1

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 442, 769, 408, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 603, 731, 894
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Given numbers are 442, 769, 408, 120
The greatest common divisor of numbers 442, 769, 408, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 769, 408, 120 is 1.

1. What is the GCD of 442, 769, 408, 120?

GCD of given numbers 442, 769, 408, 120 is 1

2. How to calculate the greatest common divisor of 442, 769, 408, 120?

We can find the highest common divisor of 442, 769, 408, 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 442, 769, 408, 120 i.e 1.

3. How can I use the GCD of 442, 769, 408, 120Calculator?

Out the numbers 442, 769, 408, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.