GCD of 873, 722, 768, 689 Calculator

Given Input numbers are 873, 722, 768, 689

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

Divisors of 873 :

The positive integer divisors of 873 that completely divides 873 are.

1, 3, 9, 97, 291, 873

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 689 :

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

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (873, 722, 768, 689) = 1.

Given numbers are 873, 722, 768, 689

The list of prime factors of all numbers are

Prime factors of 873 are 3 x 3 x 97

Prime factors of 722 are 2 x 19 x 19

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 689 are 13 x 53

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

Given numbers are 873, 722, 768, 689

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

Apply this formula for all numbers.

Step1:

LCM(873, 722) = 630306

GCD(873, 722) = ( 873 x 722 ) / 630306

= 873 / 722

= 873

Step2:

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

= 1 / 768

= 1

Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 873, 722, 768, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 574, 839, 942
• GCD of 206, 948, 640, 960
• GCD of 461, 369, 897, 530
• GCD of 557, 837, 759, 639
• GCD of 656, 313, 728, 920

Given numbers are 873, 722, 768, 689
The greatest common divisor of numbers 873, 722, 768, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 873, 722, 768, 689 is 1.

1. What is the GCD of 873, 722, 768, 689?

GCD of given numbers 873, 722, 768, 689 is 1

2. How to calculate the greatest common divisor of 873, 722, 768, 689?

We can find the highest common divisor of 873, 722, 768, 689 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 873, 722, 768, 689 i.e 1.

3. How can I use the GCD of 873, 722, 768, 689Calculator?

Out the numbers 873, 722, 768, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.