GCD of 689, 369, 791, 996 Calculator

Given Input numbers are 689, 369, 791, 996

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 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

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

GCD of numbers is the greatest common divisor

So, the GCD (689, 369, 791, 996) = 1.

Given numbers are 689, 369, 791, 996

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 369 are 3 x 3 x 41

Prime factors of 791 are 7 x 113

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

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

Given numbers are 689, 369, 791, 996

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

Apply this formula for all numbers.

Step1:

LCM(689, 369) = 254241

GCD(689, 369) = ( 689 x 369 ) / 254241

= 689 / 369

= 689

Step2:

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

= 1 / 791

= 1

Step3:

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

= 1 / 996

= 1

So, Greatest Common Divisor of 689, 369, 791, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 656, 687, 858, 742
• GCD of 149, 679, 762, 618
• GCD of 142, 177, 704, 473
• GCD of 264, 452, 252, 532
• GCD of 909, 227, 385, 523

Given numbers are 689, 369, 791, 996
The greatest common divisor of numbers 689, 369, 791, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 369, 791, 996 is 1.

1. What is the GCD of 689, 369, 791, 996?

GCD of given numbers 689, 369, 791, 996 is 1

2. How to calculate the greatest common divisor of 689, 369, 791, 996?

We can find the highest common divisor of 689, 369, 791, 996 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, 369, 791, 996 i.e 1.

3. How can I use the GCD of 689, 369, 791, 996Calculator?

Out the numbers 689, 369, 791, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.