GCD of 894, 828, 921, 495 Calculator

Given Input numbers are 894, 828, 921, 495

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

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

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

Divisors of 921 :

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

1, 3, 307, 921

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

GCD of numbers is the greatest common divisor

So, the GCD (894, 828, 921, 495) = 3.

Given numbers are 894, 828, 921, 495

The list of prime factors of all numbers are

Prime factors of 894 are 2 x 3 x 149

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

Prime factors of 921 are 3 x 307

Prime factors of 495 are 3 x 3 x 5 x 11

The highest common occurrence is 3¹

Therefore, GCD of 894, 828, 921, 495 is 3.

Given numbers are 894, 828, 921, 495

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

Apply this formula for all numbers.

Step1:

LCM(894, 828) = 123372

GCD(894, 828) = ( 894 x 828 ) / 123372

= 894 / 828

= 894

Step2:

LCM(6, 921) = 1842

GCD(6, 921) = ( 6 x 921 ) / 1842

= 6 / 921

= 6

Step3:

LCM(3, 495) = 495

GCD(3, 495) = ( 3 x 495 ) / 495

= 3 / 495

= 3

So, Greatest Common Divisor of 894, 828, 921, 495 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 372, 777, 597, 531
• GCD of 137, 858, 174, 795
• GCD of 125, 256, 652, 265
• GCD of 339, 678, 940, 777
• GCD of 301, 494, 162, 374

Given numbers are 894, 828, 921, 495
The greatest common divisor of numbers 894, 828, 921, 495 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 828, 921, 495 is 3.

1. What is the GCD of 894, 828, 921, 495?

GCD of given numbers 894, 828, 921, 495 is 3

2. How to calculate the greatest common divisor of 894, 828, 921, 495?

We can find the highest common divisor of 894, 828, 921, 495 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 894, 828, 921, 495 i.e 3.

3. How can I use the GCD of 894, 828, 921, 495Calculator?

Out the numbers 894, 828, 921, 495 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.