GCD of 182, 636, 314, 828 Calculator

Given Input numbers are 182, 636, 314, 828

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

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (182, 636, 314, 828) = 2.

Given numbers are 182, 636, 314, 828

The list of prime factors of all numbers are

Prime factors of 182 are 2 x 7 x 13

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 314 are 2 x 157

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 182, 636, 314, 828 is 2.

Given numbers are 182, 636, 314, 828

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

Apply this formula for all numbers.

Step1:

LCM(182, 636) = 57876

GCD(182, 636) = ( 182 x 636 ) / 57876

= 182 / 636

= 182

Step2:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

Step3:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

So, Greatest Common Divisor of 182, 636, 314, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 457, 112, 141, 218
• GCD of 389, 224, 989, 268
• GCD of 402, 702, 412, 151
• GCD of 129, 153, 911, 747
• GCD of 951, 479, 958, 575

Given numbers are 182, 636, 314, 828
The greatest common divisor of numbers 182, 636, 314, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 182, 636, 314, 828 is 2.

1. What is the GCD of 182, 636, 314, 828?

GCD of given numbers 182, 636, 314, 828 is 2

2. How to calculate the greatest common divisor of 182, 636, 314, 828?

We can find the highest common divisor of 182, 636, 314, 828 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 182, 636, 314, 828 i.e 2.

3. How can I use the GCD of 182, 636, 314, 828Calculator?

Out the numbers 182, 636, 314, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.