GCD of 825, 266, 687, 828 Calculator

Given Input numbers are 825, 266, 687, 828

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 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (825, 266, 687, 828) = 1.

Given numbers are 825, 266, 687, 828

The list of prime factors of all numbers are

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

Prime factors of 266 are 2 x 7 x 19

Prime factors of 687 are 3 x 229

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 825, 266, 687, 828

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

Apply this formula for all numbers.

Step1:

LCM(825, 266) = 219450

GCD(825, 266) = ( 825 x 266 ) / 219450

= 825 / 266

= 825

Step2:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 825, 266, 687, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 643, 324, 384
• GCD of 361, 705, 182, 683
• GCD of 150, 374, 335, 563
• GCD of 894, 988, 905, 934
• GCD of 987, 663, 694, 640

Given numbers are 825, 266, 687, 828
The greatest common divisor of numbers 825, 266, 687, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 266, 687, 828 is 1.

1. What is the GCD of 825, 266, 687, 828?

GCD of given numbers 825, 266, 687, 828 is 1

2. How to calculate the greatest common divisor of 825, 266, 687, 828?

We can find the highest common divisor of 825, 266, 687, 828 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, 266, 687, 828 i.e 1.

3. How can I use the GCD of 825, 266, 687, 828Calculator?

Out the numbers 825, 266, 687, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.