GCD of 225, 472, 816, 714 Calculator

Given Input numbers are 225, 472, 816, 714

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 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (225, 472, 816, 714) = 1.

Given numbers are 225, 472, 816, 714

The list of prime factors of all numbers are

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

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 714 are 2 x 3 x 7 x 17

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

Given numbers are 225, 472, 816, 714

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

Apply this formula for all numbers.

Step1:

LCM(225, 472) = 106200

GCD(225, 472) = ( 225 x 472 ) / 106200

= 225 / 472

= 225

Step2:

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

= 1 / 816

= 1

Step3:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

So, Greatest Common Divisor of 225, 472, 816, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 921, 173, 763, 856
• GCD of 261, 777, 893, 289
• GCD of 915, 701, 729, 840
• GCD of 362, 773, 888, 603
• GCD of 188, 291, 811, 591

Given numbers are 225, 472, 816, 714
The greatest common divisor of numbers 225, 472, 816, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 472, 816, 714 is 1.

1. What is the GCD of 225, 472, 816, 714?

GCD of given numbers 225, 472, 816, 714 is 1

2. How to calculate the greatest common divisor of 225, 472, 816, 714?

We can find the highest common divisor of 225, 472, 816, 714 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, 472, 816, 714 i.e 1.

3. How can I use the GCD of 225, 472, 816, 714Calculator?

Out the numbers 225, 472, 816, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.