GCD of 345, 468, 872, 545 Calculator

Given Input numbers are 345, 468, 872, 545

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 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 872 :

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

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

Divisors of 545 :

The positive integer divisors of 545 that completely divides 545 are.

1, 5, 109, 545

GCD of numbers is the greatest common divisor

So, the GCD (345, 468, 872, 545) = 1.

Given numbers are 345, 468, 872, 545

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

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

Prime factors of 545 are 5 x 109

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

Given numbers are 345, 468, 872, 545

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

Apply this formula for all numbers.

Step1:

LCM(345, 468) = 53820

GCD(345, 468) = ( 345 x 468 ) / 53820

= 345 / 468

= 345

Step2:

LCM(3, 872) = 2616

GCD(3, 872) = ( 3 x 872 ) / 2616

= 3 / 872

= 3

Step3:

LCM(1, 545) = 545

GCD(1, 545) = ( 1 x 545 ) / 545

= 1 / 545

= 1

So, Greatest Common Divisor of 345, 468, 872, 545 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 165, 580, 789, 937
• GCD of 376, 986, 240, 552
• GCD of 626, 954, 733, 561
• GCD of 467, 301, 802, 157
• GCD of 613, 533, 218, 156

Given numbers are 345, 468, 872, 545
The greatest common divisor of numbers 345, 468, 872, 545 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 468, 872, 545 is 1.

1. What is the GCD of 345, 468, 872, 545?

GCD of given numbers 345, 468, 872, 545 is 1

2. How to calculate the greatest common divisor of 345, 468, 872, 545?

We can find the highest common divisor of 345, 468, 872, 545 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, 468, 872, 545 i.e 1.

3. How can I use the GCD of 345, 468, 872, 545Calculator?

Out the numbers 345, 468, 872, 545 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.