GCD of 104, 404, 456, 120 Calculator

Given Input numbers are 104, 404, 456, 120

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

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 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 (104, 404, 456, 120) = 4.

Given numbers are 104, 404, 456, 120

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 404 are 2 x 2 x 101

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

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

The highest common occurrence is 2²

Therefore, GCD of 104, 404, 456, 120 is 4.

Given numbers are 104, 404, 456, 120

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

Apply this formula for all numbers.

Step1:

LCM(104, 404) = 10504

GCD(104, 404) = ( 104 x 404 ) / 10504

= 104 / 404

= 104

Step2:

LCM(4, 456) = 456

GCD(4, 456) = ( 4 x 456 ) / 456

= 4 / 456

= 4

Step3:

LCM(4, 120) = 120

GCD(4, 120) = ( 4 x 120 ) / 120

= 4 / 120

= 4

So, Greatest Common Divisor of 104, 404, 456, 120 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 283, 191, 352, 978
• GCD of 405, 250, 830, 344
• GCD of 207, 912, 949, 294
• GCD of 439, 736, 828, 877
• GCD of 930, 960, 934, 834

Given numbers are 104, 404, 456, 120
The greatest common divisor of numbers 104, 404, 456, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 404, 456, 120 is 4.

1. What is the GCD of 104, 404, 456, 120?

GCD of given numbers 104, 404, 456, 120 is 4

2. How to calculate the greatest common divisor of 104, 404, 456, 120?

We can find the highest common divisor of 104, 404, 456, 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 104, 404, 456, 120 i.e 4.

3. How can I use the GCD of 104, 404, 456, 120Calculator?

Out the numbers 104, 404, 456, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.