GCD of 825, 974, 829, 225 Calculator

Given Input numbers are 825, 974, 829, 225

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

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

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

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 (825, 974, 829, 225) = 1.

Given numbers are 825, 974, 829, 225

The list of prime factors of all numbers are

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

Prime factors of 974 are 2 x 487

Prime factors of 829 are 829

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 825, 974, 829, 225

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

Apply this formula for all numbers.

Step1:

LCM(825, 974) = 803550

GCD(825, 974) = ( 825 x 974 ) / 803550

= 825 / 974

= 825

Step2:

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

= 1 / 829

= 1

Step3:

LCM(1, 225) = 225

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

= 1 / 225

= 1

So, Greatest Common Divisor of 825, 974, 829, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 555, 622, 588
• GCD of 264, 873, 222, 427
• GCD of 732, 732, 454, 547
• GCD of 683, 802, 170, 574
• GCD of 968, 320, 487, 447

Given numbers are 825, 974, 829, 225
The greatest common divisor of numbers 825, 974, 829, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 974, 829, 225 is 1.

1. What is the GCD of 825, 974, 829, 225?

GCD of given numbers 825, 974, 829, 225 is 1

2. How to calculate the greatest common divisor of 825, 974, 829, 225?

We can find the highest common divisor of 825, 974, 829, 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 825, 974, 829, 225 i.e 1.

3. How can I use the GCD of 825, 974, 829, 225Calculator?

Out the numbers 825, 974, 829, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.