GCD of 828, 384, 420, 299 Calculator

Given Input numbers are 828, 384, 420, 299

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 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

GCD of numbers is the greatest common divisor

So, the GCD (828, 384, 420, 299) = 1.

Given numbers are 828, 384, 420, 299

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 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 299 are 13 x 23

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

Given numbers are 828, 384, 420, 299

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

Apply this formula for all numbers.

Step1:

LCM(828, 384) = 26496

GCD(828, 384) = ( 828 x 384 ) / 26496

= 828 / 384

= 828

Step2:

LCM(12, 420) = 420

GCD(12, 420) = ( 12 x 420 ) / 420

= 12 / 420

= 12

Step3:

LCM(12, 299) = 3588

GCD(12, 299) = ( 12 x 299 ) / 3588

= 12 / 299

= 12

So, Greatest Common Divisor of 828, 384, 420, 299 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 664, 627, 819, 891
• GCD of 483, 889, 407, 435
• GCD of 376, 642, 412, 951
• GCD of 138, 825, 157, 933
• GCD of 934, 932, 573, 547

Given numbers are 828, 384, 420, 299
The greatest common divisor of numbers 828, 384, 420, 299 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 384, 420, 299 is 1.

1. What is the GCD of 828, 384, 420, 299?

GCD of given numbers 828, 384, 420, 299 is 1

2. How to calculate the greatest common divisor of 828, 384, 420, 299?

We can find the highest common divisor of 828, 384, 420, 299 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, 384, 420, 299 i.e 1.

3. How can I use the GCD of 828, 384, 420, 299Calculator?

Out the numbers 828, 384, 420, 299 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.