GCD of 338, 216, 956, 882 Calculator

Given Input numbers are 338, 216, 956, 882

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

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

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 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

GCD of numbers is the greatest common divisor

So, the GCD (338, 216, 956, 882) = 2.

Given numbers are 338, 216, 956, 882

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

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

Prime factors of 956 are 2 x 2 x 239

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 338, 216, 956, 882 is 2.

Given numbers are 338, 216, 956, 882

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

Apply this formula for all numbers.

Step1:

LCM(338, 216) = 36504

GCD(338, 216) = ( 338 x 216 ) / 36504

= 338 / 216

= 338

Step2:

LCM(2, 956) = 956

GCD(2, 956) = ( 2 x 956 ) / 956

= 2 / 956

= 2

Step3:

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

= 2 / 882

= 2

So, Greatest Common Divisor of 338, 216, 956, 882 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 987, 341, 497, 551
• GCD of 985, 783, 586, 172
• GCD of 306, 735, 790, 406
• GCD of 768, 978, 140, 178
• GCD of 630, 258, 111, 478

Given numbers are 338, 216, 956, 882
The greatest common divisor of numbers 338, 216, 956, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 216, 956, 882 is 2.

1. What is the GCD of 338, 216, 956, 882?

GCD of given numbers 338, 216, 956, 882 is 2

2. How to calculate the greatest common divisor of 338, 216, 956, 882?

We can find the highest common divisor of 338, 216, 956, 882 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 338, 216, 956, 882 i.e 2.

3. How can I use the GCD of 338, 216, 956, 882Calculator?

Out the numbers 338, 216, 956, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.