GCD of 360, 538, 590, 121 Calculator

Given Input numbers are 360, 538, 590, 121

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 590 :

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

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

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

GCD of numbers is the greatest common divisor

So, the GCD (360, 538, 590, 121) = 1.

Given numbers are 360, 538, 590, 121

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 538 are 2 x 269

Prime factors of 590 are 2 x 5 x 59

Prime factors of 121 are 11 x 11

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

Given numbers are 360, 538, 590, 121

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

Apply this formula for all numbers.

Step1:

LCM(360, 538) = 96840

GCD(360, 538) = ( 360 x 538 ) / 96840

= 360 / 538

= 360

Step2:

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

= 2 / 590

= 2

Step3:

LCM(2, 121) = 242

GCD(2, 121) = ( 2 x 121 ) / 242

= 2 / 121

= 2

So, Greatest Common Divisor of 360, 538, 590, 121 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 826, 412, 981, 235
• GCD of 335, 378, 348, 757
• GCD of 612, 259, 106, 195
• GCD of 777, 244, 225, 499
• GCD of 232, 255, 895, 739

Given numbers are 360, 538, 590, 121
The greatest common divisor of numbers 360, 538, 590, 121 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 538, 590, 121 is 1.

1. What is the GCD of 360, 538, 590, 121?

GCD of given numbers 360, 538, 590, 121 is 1

2. How to calculate the greatest common divisor of 360, 538, 590, 121?

We can find the highest common divisor of 360, 538, 590, 121 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 360, 538, 590, 121 i.e 1.

3. How can I use the GCD of 360, 538, 590, 121Calculator?

Out the numbers 360, 538, 590, 121 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.