GCD of 174, 164, 209, 484 Calculator

Given Input numbers are 174, 164, 209, 484

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 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

GCD of numbers is the greatest common divisor

So, the GCD (174, 164, 209, 484) = 1.

Given numbers are 174, 164, 209, 484

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 164 are 2 x 2 x 41

Prime factors of 209 are 11 x 19

Prime factors of 484 are 2 x 2 x 11 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 174, 164, 209, 484

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

Apply this formula for all numbers.

Step1:

LCM(174, 164) = 14268

GCD(174, 164) = ( 174 x 164 ) / 14268

= 174 / 164

= 174

Step2:

LCM(2, 209) = 418

GCD(2, 209) = ( 2 x 209 ) / 418

= 2 / 209

= 2

Step3:

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

= 1 / 484

= 1

So, Greatest Common Divisor of 174, 164, 209, 484 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 495, 529, 408
• GCD of 888, 253, 531, 212
• GCD of 841, 568, 563, 260
• GCD of 390, 590, 125, 202
• GCD of 696, 728, 722, 565

Given numbers are 174, 164, 209, 484
The greatest common divisor of numbers 174, 164, 209, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 164, 209, 484 is 1.

1. What is the GCD of 174, 164, 209, 484?

GCD of given numbers 174, 164, 209, 484 is 1

2. How to calculate the greatest common divisor of 174, 164, 209, 484?

We can find the highest common divisor of 174, 164, 209, 484 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, 164, 209, 484 i.e 1.

3. How can I use the GCD of 174, 164, 209, 484Calculator?

Out the numbers 174, 164, 209, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.