GCD of 780, 606, 824, 216 Calculator

Given Input numbers are 780, 606, 824, 216

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

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

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

GCD of numbers is the greatest common divisor

So, the GCD (780, 606, 824, 216) = 2.

Given numbers are 780, 606, 824, 216

The list of prime factors of all numbers are

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 606 are 2 x 3 x 101

Prime factors of 824 are 2 x 2 x 2 x 103

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

The highest common occurrence is 2¹

Therefore, GCD of 780, 606, 824, 216 is 2.

Given numbers are 780, 606, 824, 216

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

Apply this formula for all numbers.

Step1:

LCM(780, 606) = 78780

GCD(780, 606) = ( 780 x 606 ) / 78780

= 780 / 606

= 780

Step2:

LCM(6, 824) = 2472

GCD(6, 824) = ( 6 x 824 ) / 2472

= 6 / 824

= 6

Step3:

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

= 2 / 216

= 2

So, Greatest Common Divisor of 780, 606, 824, 216 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 942, 665, 463, 955
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Given numbers are 780, 606, 824, 216
The greatest common divisor of numbers 780, 606, 824, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 606, 824, 216 is 2.

1. What is the GCD of 780, 606, 824, 216?

GCD of given numbers 780, 606, 824, 216 is 2

2. How to calculate the greatest common divisor of 780, 606, 824, 216?

We can find the highest common divisor of 780, 606, 824, 216 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 780, 606, 824, 216 i.e 2.

3. How can I use the GCD of 780, 606, 824, 216Calculator?

Out the numbers 780, 606, 824, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.