GCD of 825, 325, 367, 916 Calculator

Given Input numbers are 825, 325, 367, 916

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 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (825, 325, 367, 916) = 1.

Given numbers are 825, 325, 367, 916

The list of prime factors of all numbers are

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

Prime factors of 325 are 5 x 5 x 13

Prime factors of 367 are 367

Prime factors of 916 are 2 x 2 x 229

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

Given numbers are 825, 325, 367, 916

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

Apply this formula for all numbers.

Step1:

LCM(825, 325) = 10725

GCD(825, 325) = ( 825 x 325 ) / 10725

= 825 / 325

= 825

Step2:

LCM(25, 367) = 9175

GCD(25, 367) = ( 25 x 367 ) / 9175

= 25 / 367

= 25

Step3:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1

So, Greatest Common Divisor of 825, 325, 367, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 182, 635, 757, 122
• GCD of 643, 782, 247, 763
• GCD of 547, 682, 968, 525
• GCD of 485, 450, 735, 167
• GCD of 495, 750, 616, 803

Given numbers are 825, 325, 367, 916
The greatest common divisor of numbers 825, 325, 367, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 325, 367, 916 is 1.

1. What is the GCD of 825, 325, 367, 916?

GCD of given numbers 825, 325, 367, 916 is 1

2. How to calculate the greatest common divisor of 825, 325, 367, 916?

We can find the highest common divisor of 825, 325, 367, 916 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, 325, 367, 916 i.e 1.

3. How can I use the GCD of 825, 325, 367, 916Calculator?

Out the numbers 825, 325, 367, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.