GCD of 345, 629, 576, 678 Calculator

Given Input numbers are 345, 629, 576, 678

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 629 :

The positive integer divisors of 629 that completely divides 629 are.

1, 17, 37, 629

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (345, 629, 576, 678) = 1.

Given numbers are 345, 629, 576, 678

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 629 are 17 x 37

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 678 are 2 x 3 x 113

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

Given numbers are 345, 629, 576, 678

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

Apply this formula for all numbers.

Step1:

LCM(345, 629) = 217005

GCD(345, 629) = ( 345 x 629 ) / 217005

= 345 / 629

= 345

Step2:

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

= 1 / 576

= 1

Step3:

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

= 1 / 678

= 1

So, Greatest Common Divisor of 345, 629, 576, 678 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 325, 958, 749, 978
• GCD of 284, 228, 836, 156
• GCD of 464, 393, 683, 292
• GCD of 536, 349, 554, 763
• GCD of 182, 757, 265, 348

Given numbers are 345, 629, 576, 678
The greatest common divisor of numbers 345, 629, 576, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 629, 576, 678 is 1.

1. What is the GCD of 345, 629, 576, 678?

GCD of given numbers 345, 629, 576, 678 is 1

2. How to calculate the greatest common divisor of 345, 629, 576, 678?

We can find the highest common divisor of 345, 629, 576, 678 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, 629, 576, 678 i.e 1.

3. How can I use the GCD of 345, 629, 576, 678Calculator?

Out the numbers 345, 629, 576, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.