GCD of 829, 107, 312, 216 Calculator

Given Input numbers are 829, 107, 312, 216

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

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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 (829, 107, 312, 216) = 1.

Given numbers are 829, 107, 312, 216

The list of prime factors of all numbers are

Prime factors of 829 are 829

Prime factors of 107 are 107

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 829, 107, 312, 216

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

Apply this formula for all numbers.

Step1:

LCM(829, 107) = 88703

GCD(829, 107) = ( 829 x 107 ) / 88703

= 829 / 107

= 829

Step2:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1

Step3:

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

= 1 / 216

= 1

So, Greatest Common Divisor of 829, 107, 312, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 799, 641, 975, 402
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Given numbers are 829, 107, 312, 216
The greatest common divisor of numbers 829, 107, 312, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 107, 312, 216 is 1.

1. What is the GCD of 829, 107, 312, 216?

GCD of given numbers 829, 107, 312, 216 is 1

2. How to calculate the greatest common divisor of 829, 107, 312, 216?

We can find the highest common divisor of 829, 107, 312, 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 829, 107, 312, 216 i.e 1.

3. How can I use the GCD of 829, 107, 312, 216Calculator?

Out the numbers 829, 107, 312, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.