GCD of 712, 225, 584, 825 Calculator

Given Input numbers are 712, 225, 584, 825

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

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

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 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (712, 225, 584, 825) = 1.

Given numbers are 712, 225, 584, 825

The list of prime factors of all numbers are

Prime factors of 712 are 2 x 2 x 2 x 89

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

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 825 are 3 x 5 x 5 x 11

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

Given numbers are 712, 225, 584, 825

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

Apply this formula for all numbers.

Step1:

LCM(712, 225) = 160200

GCD(712, 225) = ( 712 x 225 ) / 160200

= 712 / 225

= 712

Step2:

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

= 1 / 584

= 1

Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 712, 225, 584, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 992, 721, 780
• GCD of 568, 972, 193, 485
• GCD of 959, 631, 469, 786
• GCD of 821, 702, 329, 356
• GCD of 552, 728, 343, 605

Given numbers are 712, 225, 584, 825
The greatest common divisor of numbers 712, 225, 584, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 225, 584, 825 is 1.

1. What is the GCD of 712, 225, 584, 825?

GCD of given numbers 712, 225, 584, 825 is 1

2. How to calculate the greatest common divisor of 712, 225, 584, 825?

We can find the highest common divisor of 712, 225, 584, 825 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 712, 225, 584, 825 i.e 1.

3. How can I use the GCD of 712, 225, 584, 825Calculator?

Out the numbers 712, 225, 584, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.