GCD of 345, 864, 423, 129 Calculator

Given Input numbers are 345, 864, 423, 129

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 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

GCD of numbers is the greatest common divisor

So, the GCD (345, 864, 423, 129) = 3.

Given numbers are 345, 864, 423, 129

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 423 are 3 x 3 x 47

Prime factors of 129 are 3 x 43

The highest common occurrence is 3¹

Therefore, GCD of 345, 864, 423, 129 is 3.

Given numbers are 345, 864, 423, 129

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

Apply this formula for all numbers.

Step1:

LCM(345, 864) = 99360

GCD(345, 864) = ( 345 x 864 ) / 99360

= 345 / 864

= 345

Step2:

LCM(3, 423) = 423

GCD(3, 423) = ( 3 x 423 ) / 423

= 3 / 423

= 3

Step3:

LCM(3, 129) = 129

GCD(3, 129) = ( 3 x 129 ) / 129

= 3 / 129

= 3

So, Greatest Common Divisor of 345, 864, 423, 129 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 242, 331, 478
• GCD of 893, 895, 128, 531
• GCD of 702, 179, 209, 774
• GCD of 850, 843, 362, 865
• GCD of 207, 625, 814, 162

Given numbers are 345, 864, 423, 129
The greatest common divisor of numbers 345, 864, 423, 129 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 864, 423, 129 is 3.

1. What is the GCD of 345, 864, 423, 129?

GCD of given numbers 345, 864, 423, 129 is 3

2. How to calculate the greatest common divisor of 345, 864, 423, 129?

We can find the highest common divisor of 345, 864, 423, 129 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, 864, 423, 129 i.e 3.

3. How can I use the GCD of 345, 864, 423, 129Calculator?

Out the numbers 345, 864, 423, 129 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.