GCD of 130, 596, 917, 586 Calculator

Given Input numbers are 130, 596, 917, 586

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

Divisors of 130 :

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

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

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

GCD of numbers is the greatest common divisor

So, the GCD (130, 596, 917, 586) = 1.

Given numbers are 130, 596, 917, 586

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 596 are 2 x 2 x 149

Prime factors of 917 are 7 x 131

Prime factors of 586 are 2 x 293

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

Given numbers are 130, 596, 917, 586

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

Apply this formula for all numbers.

Step1:

LCM(130, 596) = 38740

GCD(130, 596) = ( 130 x 596 ) / 38740

= 130 / 596

= 130

Step2:

LCM(2, 917) = 1834

GCD(2, 917) = ( 2 x 917 ) / 1834

= 2 / 917

= 2

Step3:

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

= 1 / 586

= 1

So, Greatest Common Divisor of 130, 596, 917, 586 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 539, 917, 690, 122
• GCD of 341, 187, 950, 783
• GCD of 182, 883, 722, 931
• GCD of 715, 318, 550, 561
• GCD of 119, 442, 523, 410

Given numbers are 130, 596, 917, 586
The greatest common divisor of numbers 130, 596, 917, 586 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 596, 917, 586 is 1.

1. What is the GCD of 130, 596, 917, 586?

GCD of given numbers 130, 596, 917, 586 is 1

2. How to calculate the greatest common divisor of 130, 596, 917, 586?

We can find the highest common divisor of 130, 596, 917, 586 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 130, 596, 917, 586 i.e 1.

3. How can I use the GCD of 130, 596, 917, 586Calculator?

Out the numbers 130, 596, 917, 586 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.