GCD of 500, 765, 309, 488 Calculator

Given Input numbers are 500, 765, 309, 488

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 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

GCD of numbers is the greatest common divisor

So, the GCD (500, 765, 309, 488) = 1.

Given numbers are 500, 765, 309, 488

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 765 are 3 x 3 x 5 x 17

Prime factors of 309 are 3 x 103

Prime factors of 488 are 2 x 2 x 2 x 61

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

Given numbers are 500, 765, 309, 488

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

Apply this formula for all numbers.

Step1:

LCM(500, 765) = 76500

GCD(500, 765) = ( 500 x 765 ) / 76500

= 500 / 765

= 500

Step2:

LCM(5, 309) = 1545

GCD(5, 309) = ( 5 x 309 ) / 1545

= 5 / 309

= 5

Step3:

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

= 1 / 488

= 1

So, Greatest Common Divisor of 500, 765, 309, 488 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 843, 527, 196, 965
• GCD of 999, 131, 813, 407
• GCD of 557, 754, 918, 518
• GCD of 245, 293, 892, 686
• GCD of 659, 819, 315, 716

Given numbers are 500, 765, 309, 488
The greatest common divisor of numbers 500, 765, 309, 488 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 765, 309, 488 is 1.

1. What is the GCD of 500, 765, 309, 488?

GCD of given numbers 500, 765, 309, 488 is 1

2. How to calculate the greatest common divisor of 500, 765, 309, 488?

We can find the highest common divisor of 500, 765, 309, 488 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, 765, 309, 488 i.e 1.

3. How can I use the GCD of 500, 765, 309, 488Calculator?

Out the numbers 500, 765, 309, 488 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.