GCD of 415, 455, 438, 120 Calculator

Given Input numbers are 415, 455, 438, 120

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

Divisors of 415 :

The positive integer divisors of 415 that completely divides 415 are.

1, 5, 83, 415

Divisors of 455 :

The positive integer divisors of 455 that completely divides 455 are.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

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 (415, 455, 438, 120) = 1.

Given numbers are 415, 455, 438, 120

The list of prime factors of all numbers are

Prime factors of 415 are 5 x 83

Prime factors of 455 are 5 x 7 x 13

Prime factors of 438 are 2 x 3 x 73

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 415, 455, 438, 120

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

Apply this formula for all numbers.

Step1:

LCM(415, 455) = 37765

GCD(415, 455) = ( 415 x 455 ) / 37765

= 415 / 455

= 415

Step2:

LCM(5, 438) = 2190

GCD(5, 438) = ( 5 x 438 ) / 2190

= 5 / 438

= 5

Step3:

LCM(1, 120) = 120

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

= 1 / 120

= 1

So, Greatest Common Divisor of 415, 455, 438, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 439, 300, 634, 355
• GCD of 188, 453, 902, 712
• GCD of 437, 600, 201, 941
• GCD of 806, 358, 162, 480
• GCD of 701, 342, 322, 692

Given numbers are 415, 455, 438, 120
The greatest common divisor of numbers 415, 455, 438, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 415, 455, 438, 120 is 1.

1. What is the GCD of 415, 455, 438, 120?

GCD of given numbers 415, 455, 438, 120 is 1

2. How to calculate the greatest common divisor of 415, 455, 438, 120?

We can find the highest common divisor of 415, 455, 438, 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 415, 455, 438, 120 i.e 1.

3. How can I use the GCD of 415, 455, 438, 120Calculator?

Out the numbers 415, 455, 438, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.