GCD of 174, 420, 273, 420 Calculator

Given Input numbers are 174, 420, 273, 420

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

Divisors of 174 :

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

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

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 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

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

GCD of numbers is the greatest common divisor

So, the GCD (174, 420, 273, 420) = 3.

Given numbers are 174, 420, 273, 420

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

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

Prime factors of 273 are 3 x 7 x 13

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

The highest common occurrence is 3¹

Therefore, GCD of 174, 420, 273, 420 is 3.

Given numbers are 174, 420, 273, 420

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

Apply this formula for all numbers.

Step1:

LCM(174, 420) = 12180

GCD(174, 420) = ( 174 x 420 ) / 12180

= 174 / 420

= 174

Step2:

LCM(6, 273) = 546

GCD(6, 273) = ( 6 x 273 ) / 546

= 6 / 273

= 6

Step3:

LCM(3, 420) = 420

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

= 3 / 420

= 3

So, Greatest Common Divisor of 174, 420, 273, 420 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 213, 131, 384
• GCD of 729, 665, 275, 441
• GCD of 542, 695, 433, 164
• GCD of 160, 880, 864, 604
• GCD of 380, 731, 442, 576

Given numbers are 174, 420, 273, 420
The greatest common divisor of numbers 174, 420, 273, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 420, 273, 420 is 3.

1. What is the GCD of 174, 420, 273, 420?

GCD of given numbers 174, 420, 273, 420 is 3

2. How to calculate the greatest common divisor of 174, 420, 273, 420?

We can find the highest common divisor of 174, 420, 273, 420 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 174, 420, 273, 420 i.e 3.

3. How can I use the GCD of 174, 420, 273, 420Calculator?

Out the numbers 174, 420, 273, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.