GCD of 238, 130, 415, 584 Calculator

Given Input numbers are 238, 130, 415, 584

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 415 :

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

1, 5, 83, 415

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

GCD of numbers is the greatest common divisor

So, the GCD (238, 130, 415, 584) = 1.

Given numbers are 238, 130, 415, 584

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 130 are 2 x 5 x 13

Prime factors of 415 are 5 x 83

Prime factors of 584 are 2 x 2 x 2 x 73

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

Given numbers are 238, 130, 415, 584

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

Apply this formula for all numbers.

Step1:

LCM(238, 130) = 15470

GCD(238, 130) = ( 238 x 130 ) / 15470

= 238 / 130

= 238

Step2:

LCM(2, 415) = 830

GCD(2, 415) = ( 2 x 415 ) / 830

= 2 / 415

= 2

Step3:

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

= 1 / 584

= 1

So, Greatest Common Divisor of 238, 130, 415, 584 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 940, 178, 582
• GCD of 651, 480, 916, 961
• GCD of 781, 610, 896, 699
• GCD of 892, 652, 216, 682
• GCD of 447, 452, 668, 375

Given numbers are 238, 130, 415, 584
The greatest common divisor of numbers 238, 130, 415, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 130, 415, 584 is 1.

1. What is the GCD of 238, 130, 415, 584?

GCD of given numbers 238, 130, 415, 584 is 1

2. How to calculate the greatest common divisor of 238, 130, 415, 584?

We can find the highest common divisor of 238, 130, 415, 584 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 238, 130, 415, 584 i.e 1.

3. How can I use the GCD of 238, 130, 415, 584Calculator?

Out the numbers 238, 130, 415, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.