GCD of 216, 410, 338, 680 Calculator

Given Input numbers are 216, 410, 338, 680

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 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (216, 410, 338, 680) = 2.

Given numbers are 216, 410, 338, 680

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 410 are 2 x 5 x 41

Prime factors of 338 are 2 x 13 x 13

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 216, 410, 338, 680 is 2.

Given numbers are 216, 410, 338, 680

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

Apply this formula for all numbers.

Step1:

LCM(216, 410) = 44280

GCD(216, 410) = ( 216 x 410 ) / 44280

= 216 / 410

= 216

Step2:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

Step3:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2

So, Greatest Common Divisor of 216, 410, 338, 680 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 916, 167, 664
• GCD of 264, 154, 752, 423
• GCD of 709, 880, 435, 585
• GCD of 588, 482, 257, 675
• GCD of 355, 125, 333, 506

Given numbers are 216, 410, 338, 680
The greatest common divisor of numbers 216, 410, 338, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 410, 338, 680 is 2.

1. What is the GCD of 216, 410, 338, 680?

GCD of given numbers 216, 410, 338, 680 is 2

2. How to calculate the greatest common divisor of 216, 410, 338, 680?

We can find the highest common divisor of 216, 410, 338, 680 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, 410, 338, 680 i.e 2.

3. How can I use the GCD of 216, 410, 338, 680Calculator?

Out the numbers 216, 410, 338, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.