GCD of 174, 225, 159, 498 Calculator

Given Input numbers are 174, 225, 159, 498

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 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

GCD of numbers is the greatest common divisor

So, the GCD (174, 225, 159, 498) = 3.

Given numbers are 174, 225, 159, 498

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 159 are 3 x 53

Prime factors of 498 are 2 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 174, 225, 159, 498 is 3.

Given numbers are 174, 225, 159, 498

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

Apply this formula for all numbers.

Step1:

LCM(174, 225) = 13050

GCD(174, 225) = ( 174 x 225 ) / 13050

= 174 / 225

= 174

Step2:

LCM(3, 159) = 159

GCD(3, 159) = ( 3 x 159 ) / 159

= 3 / 159

= 3

Step3:

LCM(3, 498) = 498

GCD(3, 498) = ( 3 x 498 ) / 498

= 3 / 498

= 3

So, Greatest Common Divisor of 174, 225, 159, 498 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 372, 452, 283, 609
• GCD of 269, 306, 951, 413
• GCD of 316, 344, 467, 733
• GCD of 901, 657, 217, 922
• GCD of 933, 307, 585, 356

Given numbers are 174, 225, 159, 498
The greatest common divisor of numbers 174, 225, 159, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 225, 159, 498 is 3.

1. What is the GCD of 174, 225, 159, 498?

GCD of given numbers 174, 225, 159, 498 is 3

2. How to calculate the greatest common divisor of 174, 225, 159, 498?

We can find the highest common divisor of 174, 225, 159, 498 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, 225, 159, 498 i.e 3.

3. How can I use the GCD of 174, 225, 159, 498Calculator?

Out the numbers 174, 225, 159, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.