GCD of 828, 669, 93, 459 Calculator

Given Input numbers are 828, 669, 93, 459

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 669 :

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

1, 3, 223, 669

Divisors of 93 :

The positive integer divisors of 93 that completely divides 93 are.

1, 3, 31, 93

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

GCD of numbers is the greatest common divisor

So, the GCD (828, 669, 93, 459) = 3.

Given numbers are 828, 669, 93, 459

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 669 are 3 x 223

Prime factors of 93 are 3 x 31

Prime factors of 459 are 3 x 3 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 828, 669, 93, 459 is 3.

Given numbers are 828, 669, 93, 459

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

Apply this formula for all numbers.

Step1:

LCM(828, 669) = 184644

GCD(828, 669) = ( 828 x 669 ) / 184644

= 828 / 669

= 828

Step2:

LCM(3, 93) = 93

GCD(3, 93) = ( 3 x 93 ) / 93

= 3 / 93

= 3

Step3:

LCM(3, 459) = 459

GCD(3, 459) = ( 3 x 459 ) / 459

= 3 / 459

= 3

So, Greatest Common Divisor of 828, 669, 93, 459 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 985, 26, 666
• GCD of 486, 134, 44, 987
• GCD of 300, 493, 47, 225
• GCD of 485, 619, 76, 800
• GCD of 793, 920, 76, 657

Given numbers are 828, 669, 93, 459
The greatest common divisor of numbers 828, 669, 93, 459 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 669, 93, 459 is 3.

1. What is the GCD of 828, 669, 93, 459?

GCD of given numbers 828, 669, 93, 459 is 3

2. How to calculate the greatest common divisor of 828, 669, 93, 459?

We can find the highest common divisor of 828, 669, 93, 459 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, 669, 93, 459 i.e 3.

3. How can I use the GCD of 828, 669, 93, 459Calculator?

Out the numbers 828, 669, 93, 459 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.