GCD of 225, 524, 109, 304 Calculator

Given Input numbers are 225, 524, 109, 304

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

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 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

GCD of numbers is the greatest common divisor

So, the GCD (225, 524, 109, 304) = 1.

Given numbers are 225, 524, 109, 304

The list of prime factors of all numbers are

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

Prime factors of 524 are 2 x 2 x 131

Prime factors of 109 are 109

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

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

Given numbers are 225, 524, 109, 304

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

Apply this formula for all numbers.

Step1:

LCM(225, 524) = 117900

GCD(225, 524) = ( 225 x 524 ) / 117900

= 225 / 524

= 225

Step2:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

Step3:

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

= 1 / 304

= 1

So, Greatest Common Divisor of 225, 524, 109, 304 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 154, 403, 107
• GCD of 513, 667, 270, 337
• GCD of 679, 320, 581, 549
• GCD of 468, 512, 852, 341
• GCD of 434, 770, 500, 351

Given numbers are 225, 524, 109, 304
The greatest common divisor of numbers 225, 524, 109, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 524, 109, 304 is 1.

1. What is the GCD of 225, 524, 109, 304?

GCD of given numbers 225, 524, 109, 304 is 1

2. How to calculate the greatest common divisor of 225, 524, 109, 304?

We can find the highest common divisor of 225, 524, 109, 304 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 225, 524, 109, 304 i.e 1.

3. How can I use the GCD of 225, 524, 109, 304Calculator?

Out the numbers 225, 524, 109, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.