GCD of 996, 305, 698, 789 Calculator

Given Input numbers are 996, 305, 698, 789

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 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

GCD of numbers is the greatest common divisor

So, the GCD (996, 305, 698, 789) = 1.

Given numbers are 996, 305, 698, 789

The list of prime factors of all numbers are

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

Prime factors of 305 are 5 x 61

Prime factors of 698 are 2 x 349

Prime factors of 789 are 3 x 263

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

Given numbers are 996, 305, 698, 789

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

Apply this formula for all numbers.

Step1:

LCM(996, 305) = 303780

GCD(996, 305) = ( 996 x 305 ) / 303780

= 996 / 305

= 996

Step2:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1

Step3:

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

= 1 / 789

= 1

So, Greatest Common Divisor of 996, 305, 698, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 300, 160, 192, 484
• GCD of 869, 322, 831, 377
• GCD of 879, 274, 549, 850
• GCD of 398, 476, 658, 608
• GCD of 856, 487, 286, 507

Given numbers are 996, 305, 698, 789
The greatest common divisor of numbers 996, 305, 698, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 305, 698, 789 is 1.

1. What is the GCD of 996, 305, 698, 789?

GCD of given numbers 996, 305, 698, 789 is 1

2. How to calculate the greatest common divisor of 996, 305, 698, 789?

We can find the highest common divisor of 996, 305, 698, 789 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, 305, 698, 789 i.e 1.

3. How can I use the GCD of 996, 305, 698, 789Calculator?

Out the numbers 996, 305, 698, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.