GCD of 304, 490, 500, 507 Calculator

Given Input numbers are 304, 490, 500, 507

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

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

GCD of numbers is the greatest common divisor

So, the GCD (304, 490, 500, 507) = 1.

Given numbers are 304, 490, 500, 507

The list of prime factors of all numbers are

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 490 are 2 x 5 x 7 x 7

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

Prime factors of 507 are 3 x 13 x 13

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

Given numbers are 304, 490, 500, 507

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

Apply this formula for all numbers.

Step1:

LCM(304, 490) = 74480

GCD(304, 490) = ( 304 x 490 ) / 74480

= 304 / 490

= 304

Step2:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

Step3:

LCM(2, 507) = 1014

GCD(2, 507) = ( 2 x 507 ) / 1014

= 2 / 507

= 2

So, Greatest Common Divisor of 304, 490, 500, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 249, 857, 386, 819
• GCD of 169, 822, 366, 190
• GCD of 169, 633, 985, 577
• GCD of 896, 311, 628, 459
• GCD of 527, 934, 697, 325

Given numbers are 304, 490, 500, 507
The greatest common divisor of numbers 304, 490, 500, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 490, 500, 507 is 1.

1. What is the GCD of 304, 490, 500, 507?

GCD of given numbers 304, 490, 500, 507 is 1

2. How to calculate the greatest common divisor of 304, 490, 500, 507?

We can find the highest common divisor of 304, 490, 500, 507 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 304, 490, 500, 507 i.e 1.

3. How can I use the GCD of 304, 490, 500, 507Calculator?

Out the numbers 304, 490, 500, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.