GCD of 996, 825, 688, 689 Calculator

Given Input numbers are 996, 825, 688, 689

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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 (996, 825, 688, 689) = 1.

Given numbers are 996, 825, 688, 689

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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 996, 825, 688, 689

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

Apply this formula for all numbers.

Step1:

LCM(996, 825) = 273900

GCD(996, 825) = ( 996 x 825 ) / 273900

= 996 / 825

= 996

Step2:

LCM(3, 688) = 2064

GCD(3, 688) = ( 3 x 688 ) / 2064

= 3 / 688

= 3

Step3:

LCM(1, 689) = 689

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

= 1 / 689

= 1

So, Greatest Common Divisor of 996, 825, 688, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 682, 644, 428
• GCD of 202, 128, 314, 929
• GCD of 734, 419, 555, 710
• GCD of 642, 670, 470, 104
• GCD of 218, 229, 290, 716

Given numbers are 996, 825, 688, 689
The greatest common divisor of numbers 996, 825, 688, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 825, 688, 689 is 1.

1. What is the GCD of 996, 825, 688, 689?

GCD of given numbers 996, 825, 688, 689 is 1

2. How to calculate the greatest common divisor of 996, 825, 688, 689?

We can find the highest common divisor of 996, 825, 688, 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 996, 825, 688, 689 i.e 1.

3. How can I use the GCD of 996, 825, 688, 689Calculator?

Out the numbers 996, 825, 688, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.