GCD of 429, 471, 420, 174 Calculator

Given Input numbers are 429, 471, 420, 174

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

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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 (429, 471, 420, 174) = 3.

Given numbers are 429, 471, 420, 174

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 471 are 3 x 157

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 174 are 2 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 429, 471, 420, 174 is 3.

Given numbers are 429, 471, 420, 174

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

Apply this formula for all numbers.

Step1:

LCM(429, 471) = 67353

GCD(429, 471) = ( 429 x 471 ) / 67353

= 429 / 471

= 429

Step2:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

Step3:

LCM(3, 174) = 174

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

= 3 / 174

= 3

So, Greatest Common Divisor of 429, 471, 420, 174 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 489, 298, 105, 234
• GCD of 103, 403, 788, 702
• GCD of 290, 562, 576, 948
• GCD of 599, 629, 239, 318
• GCD of 419, 900, 652, 299

Given numbers are 429, 471, 420, 174
The greatest common divisor of numbers 429, 471, 420, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 471, 420, 174 is 3.

1. What is the GCD of 429, 471, 420, 174?

GCD of given numbers 429, 471, 420, 174 is 3

2. How to calculate the greatest common divisor of 429, 471, 420, 174?

We can find the highest common divisor of 429, 471, 420, 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 429, 471, 420, 174 i.e 3.

3. How can I use the GCD of 429, 471, 420, 174Calculator?

Out the numbers 429, 471, 420, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.