GCD of 300, 506, 802, 513 Calculator

Given Input numbers are 300, 506, 802, 513

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

GCD of numbers is the greatest common divisor

So, the GCD (300, 506, 802, 513) = 1.

Given numbers are 300, 506, 802, 513

The list of prime factors of all numbers are

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 506 are 2 x 11 x 23

Prime factors of 802 are 2 x 401

Prime factors of 513 are 3 x 3 x 3 x 19

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

Given numbers are 300, 506, 802, 513

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

Apply this formula for all numbers.

Step1:

LCM(300, 506) = 75900

GCD(300, 506) = ( 300 x 506 ) / 75900

= 300 / 506

= 300

Step2:

LCM(2, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

= 2 / 802

= 2

Step3:

LCM(2, 513) = 1026

GCD(2, 513) = ( 2 x 513 ) / 1026

= 2 / 513

= 2

So, Greatest Common Divisor of 300, 506, 802, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 154, 858, 240
• GCD of 493, 825, 408, 237
• GCD of 748, 540, 437, 103
• GCD of 225, 143, 443, 414
• GCD of 558, 477, 634, 584

Given numbers are 300, 506, 802, 513
The greatest common divisor of numbers 300, 506, 802, 513 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 506, 802, 513 is 1.

1. What is the GCD of 300, 506, 802, 513?

GCD of given numbers 300, 506, 802, 513 is 1

2. How to calculate the greatest common divisor of 300, 506, 802, 513?

We can find the highest common divisor of 300, 506, 802, 513 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 300, 506, 802, 513 i.e 1.

3. How can I use the GCD of 300, 506, 802, 513Calculator?

Out the numbers 300, 506, 802, 513 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.