GCD of 689, 576, 716, 793 Calculator

Given Input numbers are 689, 576, 716, 793

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

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 793 :

The positive integer divisors of 793 that completely divides 793 are.

1, 13, 61, 793

GCD of numbers is the greatest common divisor

So, the GCD (689, 576, 716, 793) = 1.

Given numbers are 689, 576, 716, 793

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 716 are 2 x 2 x 179

Prime factors of 793 are 13 x 61

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

Given numbers are 689, 576, 716, 793

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

Apply this formula for all numbers.

Step1:

LCM(689, 576) = 396864

GCD(689, 576) = ( 689 x 576 ) / 396864

= 689 / 576

= 689

Step2:

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

= 1 / 716

= 1

Step3:

LCM(1, 793) = 793

GCD(1, 793) = ( 1 x 793 ) / 793

= 1 / 793

= 1

So, Greatest Common Divisor of 689, 576, 716, 793 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 113, 189, 962, 532
• GCD of 680, 968, 608, 971
• GCD of 114, 638, 837, 479
• GCD of 417, 955, 424, 281
• GCD of 697, 445, 538, 173

Given numbers are 689, 576, 716, 793
The greatest common divisor of numbers 689, 576, 716, 793 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 576, 716, 793 is 1.

1. What is the GCD of 689, 576, 716, 793?

GCD of given numbers 689, 576, 716, 793 is 1

2. How to calculate the greatest common divisor of 689, 576, 716, 793?

We can find the highest common divisor of 689, 576, 716, 793 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 689, 576, 716, 793 i.e 1.

3. How can I use the GCD of 689, 576, 716, 793Calculator?

Out the numbers 689, 576, 716, 793 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.