GCD of 714, 589, 264, 189 Calculator

Given Input numbers are 714, 589, 264, 189

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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 (714, 589, 264, 189) = 1.

Given numbers are 714, 589, 264, 189

The list of prime factors of all numbers are

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 589 are 19 x 31

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

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 714, 589, 264, 189

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

Apply this formula for all numbers.

Step1:

LCM(714, 589) = 420546

GCD(714, 589) = ( 714 x 589 ) / 420546

= 714 / 589

= 714

Step2:

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

= 1 / 264

= 1

Step3:

LCM(1, 189) = 189

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

= 1 / 189

= 1

So, Greatest Common Divisor of 714, 589, 264, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 719, 770, 138, 350
• GCD of 240, 935, 321, 689
• GCD of 475, 484, 742, 277
• GCD of 327, 348, 282, 567
• GCD of 937, 618, 563, 408

Given numbers are 714, 589, 264, 189
The greatest common divisor of numbers 714, 589, 264, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 589, 264, 189 is 1.

1. What is the GCD of 714, 589, 264, 189?

GCD of given numbers 714, 589, 264, 189 is 1

2. How to calculate the greatest common divisor of 714, 589, 264, 189?

We can find the highest common divisor of 714, 589, 264, 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 714, 589, 264, 189 i.e 1.

3. How can I use the GCD of 714, 589, 264, 189Calculator?

Out the numbers 714, 589, 264, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.