GCD of 708, 327, 489, 897 Calculator

Given Input numbers are 708, 327, 489, 897

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

GCD of numbers is the greatest common divisor

So, the GCD (708, 327, 489, 897) = 3.

Given numbers are 708, 327, 489, 897

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 327 are 3 x 109

Prime factors of 489 are 3 x 163

Prime factors of 897 are 3 x 13 x 23

The highest common occurrence is 3¹

Therefore, GCD of 708, 327, 489, 897 is 3.

Given numbers are 708, 327, 489, 897

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

Apply this formula for all numbers.

Step1:

LCM(708, 327) = 77172

GCD(708, 327) = ( 708 x 327 ) / 77172

= 708 / 327

= 708

Step2:

LCM(3, 489) = 489

GCD(3, 489) = ( 3 x 489 ) / 489

= 3 / 489

= 3

Step3:

LCM(3, 897) = 897

GCD(3, 897) = ( 3 x 897 ) / 897

= 3 / 897

= 3

So, Greatest Common Divisor of 708, 327, 489, 897 is 3

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Given numbers are 708, 327, 489, 897
The greatest common divisor of numbers 708, 327, 489, 897 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 327, 489, 897 is 3.

1. What is the GCD of 708, 327, 489, 897?

GCD of given numbers 708, 327, 489, 897 is 3

2. How to calculate the greatest common divisor of 708, 327, 489, 897?

We can find the highest common divisor of 708, 327, 489, 897 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 708, 327, 489, 897 i.e 3.

3. How can I use the GCD of 708, 327, 489, 897Calculator?

Out the numbers 708, 327, 489, 897 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.