GCD of 480, 427, 120, 590 Calculator

Given Input numbers are 480, 427, 120, 590

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 427 :

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

1, 7, 61, 427

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 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

GCD of numbers is the greatest common divisor

So, the GCD (480, 427, 120, 590) = 1.

Given numbers are 480, 427, 120, 590

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 427 are 7 x 61

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

Prime factors of 590 are 2 x 5 x 59

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

Given numbers are 480, 427, 120, 590

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

Apply this formula for all numbers.

Step1:

LCM(480, 427) = 204960

GCD(480, 427) = ( 480 x 427 ) / 204960

= 480 / 427

= 480

Step2:

LCM(1, 120) = 120

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

= 1 / 120

= 1

Step3:

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

= 1 / 590

= 1

So, Greatest Common Divisor of 480, 427, 120, 590 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 692, 962, 989
• GCD of 564, 789, 383, 244
• GCD of 894, 462, 721, 954
• GCD of 447, 552, 922, 621
• GCD of 729, 177, 418, 548

Given numbers are 480, 427, 120, 590
The greatest common divisor of numbers 480, 427, 120, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 427, 120, 590 is 1.

1. What is the GCD of 480, 427, 120, 590?

GCD of given numbers 480, 427, 120, 590 is 1

2. How to calculate the greatest common divisor of 480, 427, 120, 590?

We can find the highest common divisor of 480, 427, 120, 590 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 480, 427, 120, 590 i.e 1.

3. How can I use the GCD of 480, 427, 120, 590Calculator?

Out the numbers 480, 427, 120, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.