GCD of 789, 763, 398, 288 Calculator

Given Input numbers are 789, 763, 398, 288

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

Divisors of 789 :

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

1, 3, 263, 789

Divisors of 763 :

The positive integer divisors of 763 that completely divides 763 are.

1, 7, 109, 763

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (789, 763, 398, 288) = 1.

Given numbers are 789, 763, 398, 288

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 763 are 7 x 109

Prime factors of 398 are 2 x 199

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 789, 763, 398, 288

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

Apply this formula for all numbers.

Step1:

LCM(789, 763) = 602007

GCD(789, 763) = ( 789 x 763 ) / 602007

= 789 / 763

= 789

Step2:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1

Step3:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1

So, Greatest Common Divisor of 789, 763, 398, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 638, 843, 893, 890
• GCD of 875, 624, 541, 667
• GCD of 149, 491, 628, 834
• GCD of 128, 484, 230, 857
• GCD of 102, 147, 570, 891

Given numbers are 789, 763, 398, 288
The greatest common divisor of numbers 789, 763, 398, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 763, 398, 288 is 1.

1. What is the GCD of 789, 763, 398, 288?

GCD of given numbers 789, 763, 398, 288 is 1

2. How to calculate the greatest common divisor of 789, 763, 398, 288?

We can find the highest common divisor of 789, 763, 398, 288 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 789, 763, 398, 288 i.e 1.

3. How can I use the GCD of 789, 763, 398, 288Calculator?

Out the numbers 789, 763, 398, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.