GCD of 828, 273, 522, 704 Calculator

Given Input numbers are 828, 273, 522, 704

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 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (828, 273, 522, 704) = 1.

Given numbers are 828, 273, 522, 704

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 273 are 3 x 7 x 13

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Given numbers are 828, 273, 522, 704

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

Apply this formula for all numbers.

Step1:

LCM(828, 273) = 75348

GCD(828, 273) = ( 828 x 273 ) / 75348

= 828 / 273

= 828

Step2:

LCM(3, 522) = 522

GCD(3, 522) = ( 3 x 522 ) / 522

= 3 / 522

= 3

Step3:

LCM(3, 704) = 2112

GCD(3, 704) = ( 3 x 704 ) / 2112

= 3 / 704

= 3

So, Greatest Common Divisor of 828, 273, 522, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 786, 958, 523, 531
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• GCD of 316, 677, 664, 330
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Given numbers are 828, 273, 522, 704
The greatest common divisor of numbers 828, 273, 522, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 273, 522, 704 is 1.

1. What is the GCD of 828, 273, 522, 704?

GCD of given numbers 828, 273, 522, 704 is 1

2. How to calculate the greatest common divisor of 828, 273, 522, 704?

We can find the highest common divisor of 828, 273, 522, 704 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, 273, 522, 704 i.e 1.

3. How can I use the GCD of 828, 273, 522, 704Calculator?

Out the numbers 828, 273, 522, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.