GCD of 345, 305, 872, 687 Calculator

Given Input numbers are 345, 305, 872, 687

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 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (345, 305, 872, 687) = 1.

Given numbers are 345, 305, 872, 687

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 305 are 5 x 61

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 687 are 3 x 229

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

Given numbers are 345, 305, 872, 687

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

Apply this formula for all numbers.

Step1:

LCM(345, 305) = 21045

GCD(345, 305) = ( 345 x 305 ) / 21045

= 345 / 305

= 345

Step2:

LCM(5, 872) = 4360

GCD(5, 872) = ( 5 x 872 ) / 4360

= 5 / 872

= 5

Step3:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1

So, Greatest Common Divisor of 345, 305, 872, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 419, 576, 386
• GCD of 350, 740, 587, 643
• GCD of 666, 449, 272, 231
• GCD of 970, 615, 135, 587
• GCD of 298, 636, 538, 628

Given numbers are 345, 305, 872, 687
The greatest common divisor of numbers 345, 305, 872, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 305, 872, 687 is 1.

1. What is the GCD of 345, 305, 872, 687?

GCD of given numbers 345, 305, 872, 687 is 1

2. How to calculate the greatest common divisor of 345, 305, 872, 687?

We can find the highest common divisor of 345, 305, 872, 687 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, 305, 872, 687 i.e 1.

3. How can I use the GCD of 345, 305, 872, 687Calculator?

Out the numbers 345, 305, 872, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.