GCD of 800, 648, 513, 300 Calculator

Given Input numbers are 800, 648, 513, 300

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 513 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (800, 648, 513, 300) = 1.

Given numbers are 800, 648, 513, 300

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

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

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

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

Given numbers are 800, 648, 513, 300

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

Apply this formula for all numbers.

Step1:

LCM(800, 648) = 64800

GCD(800, 648) = ( 800 x 648 ) / 64800

= 800 / 648

= 800

Step2:

LCM(8, 513) = 4104

GCD(8, 513) = ( 8 x 513 ) / 4104

= 8 / 513

= 8

Step3:

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

= 1 / 300

= 1

So, Greatest Common Divisor of 800, 648, 513, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 397, 466, 822, 924
• GCD of 544, 216, 262, 716
• GCD of 218, 905, 407, 584
• GCD of 587, 598, 475, 144
• GCD of 511, 494, 446, 239

Given numbers are 800, 648, 513, 300
The greatest common divisor of numbers 800, 648, 513, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 648, 513, 300 is 1.

1. What is the GCD of 800, 648, 513, 300?

GCD of given numbers 800, 648, 513, 300 is 1

2. How to calculate the greatest common divisor of 800, 648, 513, 300?

We can find the highest common divisor of 800, 648, 513, 300 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 800, 648, 513, 300 i.e 1.

3. How can I use the GCD of 800, 648, 513, 300Calculator?

Out the numbers 800, 648, 513, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.