GCD of 735, 516, 644, 789 Calculator

Given Input numbers are 735, 516, 644, 789

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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 (735, 516, 644, 789) = 1.

Given numbers are 735, 516, 644, 789

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 644 are 2 x 2 x 7 x 23

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 735, 516, 644, 789

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

Apply this formula for all numbers.

Step1:

LCM(735, 516) = 126420

GCD(735, 516) = ( 735 x 516 ) / 126420

= 735 / 516

= 735

Step2:

LCM(3, 644) = 1932

GCD(3, 644) = ( 3 x 644 ) / 1932

= 3 / 644

= 3

Step3:

LCM(1, 789) = 789

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

= 1 / 789

= 1

So, Greatest Common Divisor of 735, 516, 644, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 816, 207, 231, 830
• GCD of 891, 344, 519, 206
• GCD of 804, 252, 306, 745
• GCD of 556, 199, 304, 963
• GCD of 323, 199, 241, 561

Given numbers are 735, 516, 644, 789
The greatest common divisor of numbers 735, 516, 644, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 516, 644, 789 is 1.

1. What is the GCD of 735, 516, 644, 789?

GCD of given numbers 735, 516, 644, 789 is 1

2. How to calculate the greatest common divisor of 735, 516, 644, 789?

We can find the highest common divisor of 735, 516, 644, 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 735, 516, 644, 789 i.e 1.

3. How can I use the GCD of 735, 516, 644, 789Calculator?

Out the numbers 735, 516, 644, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.