GCD of 423, 129, 174 Calculator

Given Input numbers are 423, 129, 174

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

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

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

GCD of numbers is the greatest common divisor

So, the GCD (423, 129, 174) = 3.

Given numbers are 423, 129, 174

The list of prime factors of all numbers are

Prime factors of 423 are 3 x 3 x 47

Prime factors of 129 are 3 x 43

Prime factors of 174 are 2 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 423, 129, 174 is 3.

Given numbers are 423, 129, 174

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

Apply this formula for all numbers.

Step1:

LCM(423, 129) = 18189

GCD(423, 129) = ( 423 x 129 ) / 18189

= 423 / 129

= 423

Step2:

LCM(3, 174) = 174

GCD(3, 174) = ( 3 x 174 ) / 174

= 3 / 174

= 3

So, Greatest Common Divisor of 423, 129, 174 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 206, 610, 685
• GCD of 358, 657, 882
• GCD of 646, 466, 368
• GCD of 972, 851, 318
• GCD of 925, 404, 145

Given numbers are 423, 129, 174
The greatest common divisor of numbers 423, 129, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 423, 129, 174 is 3.

1. What is the GCD of 423, 129, 174?

GCD of given numbers 423, 129, 174 is 3

2. How to calculate the greatest common divisor of 423, 129, 174?

We can find the highest common divisor of 423, 129, 174 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 423, 129, 174 i.e 3.

3. How can I use the GCD of 423, 129, 174Calculator?

Out the numbers 423, 129, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.