GCD of 768, 837, 424, 189 Calculator

Given Input numbers are 768, 837, 424, 189

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 837 :

The positive integer divisors of 837 that completely divides 837 are.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (768, 837, 424, 189) = 1.

Given numbers are 768, 837, 424, 189

The list of prime factors of all numbers are

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 837 are 3 x 3 x 3 x 31

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 189 are 3 x 3 x 3 x 7

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

Given numbers are 768, 837, 424, 189

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

Apply this formula for all numbers.

Step1:

LCM(768, 837) = 214272

GCD(768, 837) = ( 768 x 837 ) / 214272

= 768 / 837

= 768

Step2:

LCM(3, 424) = 1272

GCD(3, 424) = ( 3 x 424 ) / 1272

= 3 / 424

= 3

Step3:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1

So, Greatest Common Divisor of 768, 837, 424, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 653, 213, 594
• GCD of 129, 652, 492, 183
• GCD of 736, 922, 496, 226
• GCD of 794, 919, 950, 454
• GCD of 323, 481, 230, 220

Given numbers are 768, 837, 424, 189
The greatest common divisor of numbers 768, 837, 424, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 837, 424, 189 is 1.

1. What is the GCD of 768, 837, 424, 189?

GCD of given numbers 768, 837, 424, 189 is 1

2. How to calculate the greatest common divisor of 768, 837, 424, 189?

We can find the highest common divisor of 768, 837, 424, 189 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 768, 837, 424, 189 i.e 1.

3. How can I use the GCD of 768, 837, 424, 189Calculator?

Out the numbers 768, 837, 424, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.