GCD of 345, 365, 684 Calculator

Given Input numbers are 345, 365, 684

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 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (345, 365, 684) = 1.

Given numbers are 345, 365, 684

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 365 are 5 x 73

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

Given numbers are 345, 365, 684

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

Apply this formula for all numbers.

Step1:

LCM(345, 365) = 25185

GCD(345, 365) = ( 345 x 365 ) / 25185

= 345 / 365

= 345

Step2:

LCM(5, 684) = 3420

GCD(5, 684) = ( 5 x 684 ) / 3420

= 5 / 684

= 5

So, Greatest Common Divisor of 345, 365, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 183, 912
• GCD of 597, 670, 870
• GCD of 581, 313, 820
• GCD of 600, 667, 153
• GCD of 336, 813, 872

Given numbers are 345, 365, 684
The greatest common divisor of numbers 345, 365, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 365, 684 is 1.

1. What is the GCD of 345, 365, 684?

GCD of given numbers 345, 365, 684 is 1

2. How to calculate the greatest common divisor of 345, 365, 684?

We can find the highest common divisor of 345, 365, 684 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, 365, 684 i.e 1.

3. How can I use the GCD of 345, 365, 684Calculator?

Out the numbers 345, 365, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.