GCD of 912, 676, 582, 825 Calculator

Given Input numbers are 912, 676, 582, 825

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

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

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 (912, 676, 582, 825) = 1.

Given numbers are 912, 676, 582, 825

The list of prime factors of all numbers are

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 582 are 2 x 3 x 97

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 912, 676, 582, 825

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

Apply this formula for all numbers.

Step1:

LCM(912, 676) = 154128

GCD(912, 676) = ( 912 x 676 ) / 154128

= 912 / 676

= 912

Step2:

LCM(4, 582) = 1164

GCD(4, 582) = ( 4 x 582 ) / 1164

= 4 / 582

= 4

Step3:

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

= 2 / 825

= 2

So, Greatest Common Divisor of 912, 676, 582, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 727, 742, 422, 397
• GCD of 871, 496, 621, 417
• GCD of 790, 841, 861, 635
• GCD of 324, 925, 378, 898
• GCD of 763, 982, 974, 753

Given numbers are 912, 676, 582, 825
The greatest common divisor of numbers 912, 676, 582, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 912, 676, 582, 825 is 1.

1. What is the GCD of 912, 676, 582, 825?

GCD of given numbers 912, 676, 582, 825 is 1

2. How to calculate the greatest common divisor of 912, 676, 582, 825?

We can find the highest common divisor of 912, 676, 582, 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 912, 676, 582, 825 i.e 1.

3. How can I use the GCD of 912, 676, 582, 825Calculator?

Out the numbers 912, 676, 582, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.