GCD of 789, 767, 105, 745 Calculator

Given Input numbers are 789, 767, 105, 745

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 767 :

The positive integer divisors of 767 that completely divides 767 are.

1, 13, 59, 767

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

GCD of numbers is the greatest common divisor

So, the GCD (789, 767, 105, 745) = 1.

Given numbers are 789, 767, 105, 745

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 767 are 13 x 59

Prime factors of 105 are 3 x 5 x 7

Prime factors of 745 are 5 x 149

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

Given numbers are 789, 767, 105, 745

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

Apply this formula for all numbers.

Step1:

LCM(789, 767) = 605163

GCD(789, 767) = ( 789 x 767 ) / 605163

= 789 / 767

= 789

Step2:

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

= 1 / 105

= 1

Step3:

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

= 1 / 745

= 1

So, Greatest Common Divisor of 789, 767, 105, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 751, 127, 524
• GCD of 827, 337, 264, 983
• GCD of 671, 239, 446, 627
• GCD of 232, 951, 266, 727
• GCD of 171, 712, 905, 614

Given numbers are 789, 767, 105, 745
The greatest common divisor of numbers 789, 767, 105, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 767, 105, 745 is 1.

1. What is the GCD of 789, 767, 105, 745?

GCD of given numbers 789, 767, 105, 745 is 1

2. How to calculate the greatest common divisor of 789, 767, 105, 745?

We can find the highest common divisor of 789, 767, 105, 745 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, 767, 105, 745 i.e 1.

3. How can I use the GCD of 789, 767, 105, 745Calculator?

Out the numbers 789, 767, 105, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.