GCD of 427, 576, 218, 120 Calculator

Given Input numbers are 427, 576, 218, 120

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

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

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 (427, 576, 218, 120) = 1.

Given numbers are 427, 576, 218, 120

The list of prime factors of all numbers are

Prime factors of 427 are 7 x 61

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 218 are 2 x 109

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 427, 576, 218, 120

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

Apply this formula for all numbers.

Step1:

LCM(427, 576) = 245952

GCD(427, 576) = ( 427 x 576 ) / 245952

= 427 / 576

= 427

Step2:

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

= 1 / 218

= 1

Step3:

LCM(1, 120) = 120

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

= 1 / 120

= 1

So, Greatest Common Divisor of 427, 576, 218, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 758, 862, 269
• GCD of 933, 578, 297, 532
• GCD of 447, 927, 409, 897
• GCD of 637, 164, 745, 258
• GCD of 371, 257, 886, 631

Given numbers are 427, 576, 218, 120
The greatest common divisor of numbers 427, 576, 218, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 427, 576, 218, 120 is 1.

1. What is the GCD of 427, 576, 218, 120?

GCD of given numbers 427, 576, 218, 120 is 1

2. How to calculate the greatest common divisor of 427, 576, 218, 120?

We can find the highest common divisor of 427, 576, 218, 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 427, 576, 218, 120 i.e 1.

3. How can I use the GCD of 427, 576, 218, 120Calculator?

Out the numbers 427, 576, 218, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.