GCD of 828, 918, 231, 669 Calculator

Given Input numbers are 828, 918, 231, 669

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

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 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

GCD of numbers is the greatest common divisor

So, the GCD (828, 918, 231, 669) = 3.

Given numbers are 828, 918, 231, 669

The list of prime factors of all numbers are

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

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 231 are 3 x 7 x 11

Prime factors of 669 are 3 x 223

The highest common occurrence is 3¹

Therefore, GCD of 828, 918, 231, 669 is 3.

Given numbers are 828, 918, 231, 669

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

Apply this formula for all numbers.

Step1:

LCM(828, 918) = 42228

GCD(828, 918) = ( 828 x 918 ) / 42228

= 828 / 918

= 828

Step2:

LCM(18, 231) = 1386

GCD(18, 231) = ( 18 x 231 ) / 1386

= 18 / 231

= 18

Step3:

LCM(3, 669) = 669

GCD(3, 669) = ( 3 x 669 ) / 669

= 3 / 669

= 3

So, Greatest Common Divisor of 828, 918, 231, 669 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 370, 501, 424, 518
• GCD of 529, 378, 217, 700
• GCD of 319, 501, 106, 553
• GCD of 650, 808, 226, 968
• GCD of 426, 591, 390, 387

Given numbers are 828, 918, 231, 669
The greatest common divisor of numbers 828, 918, 231, 669 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 918, 231, 669 is 3.

1. What is the GCD of 828, 918, 231, 669?

GCD of given numbers 828, 918, 231, 669 is 3

2. How to calculate the greatest common divisor of 828, 918, 231, 669?

We can find the highest common divisor of 828, 918, 231, 669 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 828, 918, 231, 669 i.e 3.

3. How can I use the GCD of 828, 918, 231, 669Calculator?

Out the numbers 828, 918, 231, 669 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.