GCD of 772, 216, 300 Calculator

Given Input numbers are 772, 216, 300

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

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

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

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 (772, 216, 300) = 4.

Given numbers are 772, 216, 300

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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

The highest common occurrence is 2²

Therefore, GCD of 772, 216, 300 is 4.

Given numbers are 772, 216, 300

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

Apply this formula for all numbers.

Step1:

LCM(772, 216) = 41688

GCD(772, 216) = ( 772 x 216 ) / 41688

= 772 / 216

= 772

Step2:

LCM(4, 300) = 300

GCD(4, 300) = ( 4 x 300 ) / 300

= 4 / 300

= 4

So, Greatest Common Divisor of 772, 216, 300 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 738, 597
• GCD of 264, 425, 666
• GCD of 121, 882, 389
• GCD of 246, 490, 250
• GCD of 386, 658, 287

Given numbers are 772, 216, 300
The greatest common divisor of numbers 772, 216, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 216, 300 is 4.

1. What is the GCD of 772, 216, 300?

GCD of given numbers 772, 216, 300 is 4

2. How to calculate the greatest common divisor of 772, 216, 300?

We can find the highest common divisor of 772, 216, 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 772, 216, 300 i.e 4.

3. How can I use the GCD of 772, 216, 300Calculator?

Out the numbers 772, 216, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.