GCD of 921, 255, 825 Calculator

Given Input numbers are 921, 255, 825

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

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

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 (921, 255, 825) = 3.

Given numbers are 921, 255, 825

The list of prime factors of all numbers are

Prime factors of 921 are 3 x 307

Prime factors of 255 are 3 x 5 x 17

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

The highest common occurrence is 3¹

Therefore, GCD of 921, 255, 825 is 3.

Given numbers are 921, 255, 825

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

Apply this formula for all numbers.

Step1:

LCM(921, 255) = 78285

GCD(921, 255) = ( 921 x 255 ) / 78285

= 921 / 255

= 921

Step2:

LCM(3, 825) = 825

GCD(3, 825) = ( 3 x 825 ) / 825

= 3 / 825

= 3

So, Greatest Common Divisor of 921, 255, 825 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 500, 168
• GCD of 488, 461, 101
• GCD of 500, 860, 173
• GCD of 664, 259, 664
• GCD of 495, 336, 503

Given numbers are 921, 255, 825
The greatest common divisor of numbers 921, 255, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 255, 825 is 3.

1. What is the GCD of 921, 255, 825?

GCD of given numbers 921, 255, 825 is 3

2. How to calculate the greatest common divisor of 921, 255, 825?

We can find the highest common divisor of 921, 255, 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 921, 255, 825 i.e 3.

3. How can I use the GCD of 921, 255, 825Calculator?

Out the numbers 921, 255, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.