GCD of 789, 695, 874 Calculator

Given Input numbers are 789, 695, 874

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 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

GCD of numbers is the greatest common divisor

So, the GCD (789, 695, 874) = 1.

Given numbers are 789, 695, 874

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 695 are 5 x 139

Prime factors of 874 are 2 x 19 x 23

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

Given numbers are 789, 695, 874

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

Apply this formula for all numbers.

Step1:

LCM(789, 695) = 548355

GCD(789, 695) = ( 789 x 695 ) / 548355

= 789 / 695

= 789

Step2:

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

= 1 / 874

= 1

So, Greatest Common Divisor of 789, 695, 874 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 809, 320
• GCD of 744, 813, 834
• GCD of 506, 116, 879
• GCD of 731, 264, 864
• GCD of 520, 147, 397

Given numbers are 789, 695, 874
The greatest common divisor of numbers 789, 695, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 695, 874 is 1.

1. What is the GCD of 789, 695, 874?

GCD of given numbers 789, 695, 874 is 1

2. How to calculate the greatest common divisor of 789, 695, 874?

We can find the highest common divisor of 789, 695, 874 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, 695, 874 i.e 1.

3. How can I use the GCD of 789, 695, 874Calculator?

Out the numbers 789, 695, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.