GCD of 345, 644, 966, 378 Calculator

Given Input numbers are 345, 644, 966, 378

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

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 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (345, 644, 966, 378) = 1.

Given numbers are 345, 644, 966, 378

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

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

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

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

Given numbers are 345, 644, 966, 378

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

Apply this formula for all numbers.

Step1:

LCM(345, 644) = 9660

GCD(345, 644) = ( 345 x 644 ) / 9660

= 345 / 644

= 345

Step2:

LCM(23, 966) = 966

GCD(23, 966) = ( 23 x 966 ) / 966

= 23 / 966

= 23

Step3:

LCM(23, 378) = 8694

GCD(23, 378) = ( 23 x 378 ) / 8694

= 23 / 378

= 23

So, Greatest Common Divisor of 345, 644, 966, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 589, 340, 244, 159
• GCD of 972, 916, 735, 579
• GCD of 701, 417, 217, 343
• GCD of 479, 701, 666, 951
• GCD of 357, 947, 131, 846

Given numbers are 345, 644, 966, 378
The greatest common divisor of numbers 345, 644, 966, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 644, 966, 378 is 1.

1. What is the GCD of 345, 644, 966, 378?

GCD of given numbers 345, 644, 966, 378 is 1

2. How to calculate the greatest common divisor of 345, 644, 966, 378?

We can find the highest common divisor of 345, 644, 966, 378 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 345, 644, 966, 378 i.e 1.

3. How can I use the GCD of 345, 644, 966, 378Calculator?

Out the numbers 345, 644, 966, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.