GCD of 828, 344, 75, 168 Calculator

Given Input numbers are 828, 344, 75, 168

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

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 75 :

The positive integer divisors of 75 that completely divides 75 are.

1, 3, 5, 15, 25, 75

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

GCD of numbers is the greatest common divisor

So, the GCD (828, 344, 75, 168) = 1.

Given numbers are 828, 344, 75, 168

The list of prime factors of all numbers are

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

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 75 are 3 x 5 x 5

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

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

Given numbers are 828, 344, 75, 168

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

Apply this formula for all numbers.

Step1:

LCM(828, 344) = 71208

GCD(828, 344) = ( 828 x 344 ) / 71208

= 828 / 344

= 828

Step2:

LCM(4, 75) = 300

GCD(4, 75) = ( 4 x 75 ) / 300

= 4 / 75

= 4

Step3:

LCM(1, 168) = 168

GCD(1, 168) = ( 1 x 168 ) / 168

= 1 / 168

= 1

So, Greatest Common Divisor of 828, 344, 75, 168 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 424, 664, 13, 117
• GCD of 211, 358, 12, 210
• GCD of 236, 527, 92, 462
• GCD of 820, 864, 78, 987
• GCD of 770, 496, 78, 858

Given numbers are 828, 344, 75, 168
The greatest common divisor of numbers 828, 344, 75, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 344, 75, 168 is 1.

1. What is the GCD of 828, 344, 75, 168?

GCD of given numbers 828, 344, 75, 168 is 1

2. How to calculate the greatest common divisor of 828, 344, 75, 168?

We can find the highest common divisor of 828, 344, 75, 168 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 828, 344, 75, 168 i.e 1.

3. How can I use the GCD of 828, 344, 75, 168Calculator?

Out the numbers 828, 344, 75, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.