GCD of 216, 340, 836, 402 Calculator

Given Input numbers are 216, 340, 836, 402

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 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (216, 340, 836, 402) = 2.

Given numbers are 216, 340, 836, 402

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 340 are 2 x 2 x 5 x 17

Prime factors of 836 are 2 x 2 x 11 x 19

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 2¹

Therefore, GCD of 216, 340, 836, 402 is 2.

Given numbers are 216, 340, 836, 402

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

Apply this formula for all numbers.

Step1:

LCM(216, 340) = 18360

GCD(216, 340) = ( 216 x 340 ) / 18360

= 216 / 340

= 216

Step2:

LCM(4, 836) = 836

GCD(4, 836) = ( 4 x 836 ) / 836

= 4 / 836

= 4

Step3:

LCM(4, 402) = 804

GCD(4, 402) = ( 4 x 402 ) / 804

= 4 / 402

= 4

So, Greatest Common Divisor of 216, 340, 836, 402 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 831, 541, 972
• GCD of 670, 633, 820, 453
• GCD of 203, 117, 598, 585
• GCD of 187, 642, 107, 720
• GCD of 370, 808, 901, 358

Given numbers are 216, 340, 836, 402
The greatest common divisor of numbers 216, 340, 836, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 340, 836, 402 is 2.

1. What is the GCD of 216, 340, 836, 402?

GCD of given numbers 216, 340, 836, 402 is 2

2. How to calculate the greatest common divisor of 216, 340, 836, 402?

We can find the highest common divisor of 216, 340, 836, 402 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, 340, 836, 402 i.e 2.

3. How can I use the GCD of 216, 340, 836, 402Calculator?

Out the numbers 216, 340, 836, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.