GCD of 730, 912, 677, 189 Calculator

Given Input numbers are 730, 912, 677, 189

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

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

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 (730, 912, 677, 189) = 1.

Given numbers are 730, 912, 677, 189

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 677 are 677

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 730, 912, 677, 189

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

Apply this formula for all numbers.

Step1:

LCM(730, 912) = 332880

GCD(730, 912) = ( 730 x 912 ) / 332880

= 730 / 912

= 730

Step2:

LCM(2, 677) = 1354

GCD(2, 677) = ( 2 x 677 ) / 1354

= 2 / 677

= 2

Step3:

LCM(1, 189) = 189

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

= 1 / 189

= 1

So, Greatest Common Divisor of 730, 912, 677, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 372, 767, 617
• GCD of 153, 368, 903, 323
• GCD of 270, 444, 223, 797
• GCD of 441, 392, 866, 889
• GCD of 635, 772, 583, 357

Given numbers are 730, 912, 677, 189
The greatest common divisor of numbers 730, 912, 677, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 912, 677, 189 is 1.

1. What is the GCD of 730, 912, 677, 189?

GCD of given numbers 730, 912, 677, 189 is 1

2. How to calculate the greatest common divisor of 730, 912, 677, 189?

We can find the highest common divisor of 730, 912, 677, 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 730, 912, 677, 189 i.e 1.

3. How can I use the GCD of 730, 912, 677, 189Calculator?

Out the numbers 730, 912, 677, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.