GCD of 108, 498, 521, 225 Calculator

Given Input numbers are 108, 498, 521, 225

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 498 :

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

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

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

Divisors of 225 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (108, 498, 521, 225) = 1.

Given numbers are 108, 498, 521, 225

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 498 are 2 x 3 x 83

Prime factors of 521 are 521

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

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

Given numbers are 108, 498, 521, 225

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

Apply this formula for all numbers.

Step1:

LCM(108, 498) = 8964

GCD(108, 498) = ( 108 x 498 ) / 8964

= 108 / 498

= 108

Step2:

LCM(6, 521) = 3126

GCD(6, 521) = ( 6 x 521 ) / 3126

= 6 / 521

= 6

Step3:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1

So, Greatest Common Divisor of 108, 498, 521, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 217, 407, 793
• GCD of 624, 364, 441, 962
• GCD of 334, 477, 272, 981
• GCD of 331, 862, 357, 544
• GCD of 285, 566, 340, 797

Given numbers are 108, 498, 521, 225
The greatest common divisor of numbers 108, 498, 521, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 498, 521, 225 is 1.

1. What is the GCD of 108, 498, 521, 225?

GCD of given numbers 108, 498, 521, 225 is 1

2. How to calculate the greatest common divisor of 108, 498, 521, 225?

We can find the highest common divisor of 108, 498, 521, 225 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 108, 498, 521, 225 i.e 1.

3. How can I use the GCD of 108, 498, 521, 225Calculator?

Out the numbers 108, 498, 521, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.