GCD of 704, 187, 42, 789 Calculator

Given Input numbers are 704, 187, 42, 789

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

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 (704, 187, 42, 789) = 1.

Given numbers are 704, 187, 42, 789

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 187 are 11 x 17

Prime factors of 42 are 2 x 3 x 7

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 704, 187, 42, 789

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

Apply this formula for all numbers.

Step1:

LCM(704, 187) = 11968

GCD(704, 187) = ( 704 x 187 ) / 11968

= 704 / 187

= 704

Step2:

LCM(11, 42) = 462

GCD(11, 42) = ( 11 x 42 ) / 462

= 11 / 42

= 11

Step3:

LCM(1, 789) = 789

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

= 1 / 789

= 1

So, Greatest Common Divisor of 704, 187, 42, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 622, 631, 14, 601
• GCD of 386, 451, 67, 944
• GCD of 797, 164, 68, 331
• GCD of 182, 993, 91, 799
• GCD of 464, 107, 30, 447

Given numbers are 704, 187, 42, 789
The greatest common divisor of numbers 704, 187, 42, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 187, 42, 789 is 1.

1. What is the GCD of 704, 187, 42, 789?

GCD of given numbers 704, 187, 42, 789 is 1

2. How to calculate the greatest common divisor of 704, 187, 42, 789?

We can find the highest common divisor of 704, 187, 42, 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 704, 187, 42, 789 i.e 1.

3. How can I use the GCD of 704, 187, 42, 789Calculator?

Out the numbers 704, 187, 42, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.