GCD of 500, 596, 131, 146 Calculator

Given Input numbers are 500, 596, 131, 146

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 596 :

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

1, 2, 4, 149, 298, 596

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

GCD of numbers is the greatest common divisor

So, the GCD (500, 596, 131, 146) = 1.

Given numbers are 500, 596, 131, 146

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 596 are 2 x 2 x 149

Prime factors of 131 are 131

Prime factors of 146 are 2 x 73

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

Given numbers are 500, 596, 131, 146

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

Apply this formula for all numbers.

Step1:

LCM(500, 596) = 74500

GCD(500, 596) = ( 500 x 596 ) / 74500

= 500 / 596

= 500

Step2:

LCM(4, 131) = 524

GCD(4, 131) = ( 4 x 131 ) / 524

= 4 / 131

= 4

Step3:

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

= 1 / 146

= 1

So, Greatest Common Divisor of 500, 596, 131, 146 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 384, 179, 417
• GCD of 847, 117, 307, 477
• GCD of 346, 505, 162, 523
• GCD of 459, 332, 180, 187
• GCD of 328, 815, 528, 558

Given numbers are 500, 596, 131, 146
The greatest common divisor of numbers 500, 596, 131, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 596, 131, 146 is 1.

1. What is the GCD of 500, 596, 131, 146?

GCD of given numbers 500, 596, 131, 146 is 1

2. How to calculate the greatest common divisor of 500, 596, 131, 146?

We can find the highest common divisor of 500, 596, 131, 146 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 500, 596, 131, 146 i.e 1.

3. How can I use the GCD of 500, 596, 131, 146Calculator?

Out the numbers 500, 596, 131, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.