GCD of 216, 780, 678, 770 Calculator

Given Input numbers are 216, 780, 678, 770

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

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 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 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

GCD of numbers is the greatest common divisor

So, the GCD (216, 780, 678, 770) = 2.

Given numbers are 216, 780, 678, 770

The list of prime factors of all numbers are

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

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

Prime factors of 678 are 2 x 3 x 113

Prime factors of 770 are 2 x 5 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 216, 780, 678, 770 is 2.

Given numbers are 216, 780, 678, 770

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

Apply this formula for all numbers.

Step1:

LCM(216, 780) = 14040

GCD(216, 780) = ( 216 x 780 ) / 14040

= 216 / 780

= 216

Step2:

LCM(12, 678) = 1356

GCD(12, 678) = ( 12 x 678 ) / 1356

= 12 / 678

= 12

Step3:

LCM(6, 770) = 2310

GCD(6, 770) = ( 6 x 770 ) / 2310

= 6 / 770

= 6

So, Greatest Common Divisor of 216, 780, 678, 770 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 680, 298, 324, 656
• GCD of 716, 204, 176, 343
• GCD of 525, 114, 329, 920
• GCD of 434, 865, 188, 949
• GCD of 297, 389, 398, 932

Given numbers are 216, 780, 678, 770
The greatest common divisor of numbers 216, 780, 678, 770 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 780, 678, 770 is 2.

1. What is the GCD of 216, 780, 678, 770?

GCD of given numbers 216, 780, 678, 770 is 2

2. How to calculate the greatest common divisor of 216, 780, 678, 770?

We can find the highest common divisor of 216, 780, 678, 770 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 216, 780, 678, 770 i.e 2.

3. How can I use the GCD of 216, 780, 678, 770Calculator?

Out the numbers 216, 780, 678, 770 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.