GCD of 784, 676, 234, 189 Calculator

Given Input numbers are 784, 676, 234, 189

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

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

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 (784, 676, 234, 189) = 1.

Given numbers are 784, 676, 234, 189

The list of prime factors of all numbers are

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 234 are 2 x 3 x 3 x 13

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 784, 676, 234, 189

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

Apply this formula for all numbers.

Step1:

LCM(784, 676) = 132496

GCD(784, 676) = ( 784 x 676 ) / 132496

= 784 / 676

= 784

Step2:

LCM(4, 234) = 468

GCD(4, 234) = ( 4 x 234 ) / 468

= 4 / 234

= 4

Step3:

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

= 2 / 189

= 2

So, Greatest Common Divisor of 784, 676, 234, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 948, 594, 330, 930
• GCD of 655, 776, 370, 452
• GCD of 509, 762, 829, 376
• GCD of 121, 173, 747, 577
• GCD of 675, 167, 512, 160

Given numbers are 784, 676, 234, 189
The greatest common divisor of numbers 784, 676, 234, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 676, 234, 189 is 1.

1. What is the GCD of 784, 676, 234, 189?

GCD of given numbers 784, 676, 234, 189 is 1

2. How to calculate the greatest common divisor of 784, 676, 234, 189?

We can find the highest common divisor of 784, 676, 234, 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 784, 676, 234, 189 i.e 1.

3. How can I use the GCD of 784, 676, 234, 189Calculator?

Out the numbers 784, 676, 234, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.