GCD of 712, 689, 299 Calculator

Given Input numbers are 712, 689, 299

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

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

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 (712, 689, 299) = 1.

Given numbers are 712, 689, 299

The list of prime factors of all numbers are

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 689 are 13 x 53

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 712, 689, 299

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

Apply this formula for all numbers.

Step1:

LCM(712, 689) = 490568

GCD(712, 689) = ( 712 x 689 ) / 490568

= 712 / 689

= 712

Step2:

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

= 1 / 299

= 1

So, Greatest Common Divisor of 712, 689, 299 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 472, 745, 949
• GCD of 633, 711, 576
• GCD of 662, 684, 597
• GCD of 257, 997, 325
• GCD of 336, 879, 250

Given numbers are 712, 689, 299
The greatest common divisor of numbers 712, 689, 299 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 689, 299 is 1.

1. What is the GCD of 712, 689, 299?

GCD of given numbers 712, 689, 299 is 1

2. How to calculate the greatest common divisor of 712, 689, 299?

We can find the highest common divisor of 712, 689, 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 712, 689, 299 i.e 1.

3. How can I use the GCD of 712, 689, 299Calculator?

Out the numbers 712, 689, 299 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.