GCD of 699, 342, 129, 171 Calculator

Given Input numbers are 699, 342, 129, 171

In the factoring method, we have to find the divisors of all numbers

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 129 :

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

1, 3, 43, 129

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (699, 342, 129, 171) = 3.

Given numbers are 699, 342, 129, 171

The list of prime factors of all numbers are

Prime factors of 699 are 3 x 233

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 129 are 3 x 43

Prime factors of 171 are 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 699, 342, 129, 171 is 3.

Given numbers are 699, 342, 129, 171

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

Apply this formula for all numbers.

Step1:

LCM(699, 342) = 79686

GCD(699, 342) = ( 699 x 342 ) / 79686

= 699 / 342

= 699

Step2:

LCM(3, 129) = 129

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

= 3 / 129

= 3

Step3:

LCM(3, 171) = 171

GCD(3, 171) = ( 3 x 171 ) / 171

= 3 / 171

= 3

So, Greatest Common Divisor of 699, 342, 129, 171 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 515, 182, 298, 803
• GCD of 278, 288, 587, 666
• GCD of 499, 177, 396, 173
• GCD of 512, 472, 402, 726
• GCD of 301, 252, 225, 675

Given numbers are 699, 342, 129, 171
The greatest common divisor of numbers 699, 342, 129, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 699, 342, 129, 171 is 3.

1. What is the GCD of 699, 342, 129, 171?

GCD of given numbers 699, 342, 129, 171 is 3

2. How to calculate the greatest common divisor of 699, 342, 129, 171?

We can find the highest common divisor of 699, 342, 129, 171 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 699, 342, 129, 171 i.e 3.

3. How can I use the GCD of 699, 342, 129, 171Calculator?

Out the numbers 699, 342, 129, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.