GCD of 897, 753, 663, 468 Calculator

Given Input numbers are 897, 753, 663, 468

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

Divisors of 897 :

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

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

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

GCD of numbers is the greatest common divisor

So, the GCD (897, 753, 663, 468) = 3.

Given numbers are 897, 753, 663, 468

The list of prime factors of all numbers are

Prime factors of 897 are 3 x 13 x 23

Prime factors of 753 are 3 x 251

Prime factors of 663 are 3 x 13 x 17

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 897, 753, 663, 468 is 3.

Given numbers are 897, 753, 663, 468

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

Apply this formula for all numbers.

Step1:

LCM(897, 753) = 225147

GCD(897, 753) = ( 897 x 753 ) / 225147

= 897 / 753

= 897

Step2:

LCM(3, 663) = 663

GCD(3, 663) = ( 3 x 663 ) / 663

= 3 / 663

= 3

Step3:

LCM(3, 468) = 468

GCD(3, 468) = ( 3 x 468 ) / 468

= 3 / 468

= 3

So, Greatest Common Divisor of 897, 753, 663, 468 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 954, 704, 189, 233
• GCD of 675, 134, 801, 135
• GCD of 191, 132, 641, 533
• GCD of 523, 137, 792, 669
• GCD of 547, 589, 582, 652

Given numbers are 897, 753, 663, 468
The greatest common divisor of numbers 897, 753, 663, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 753, 663, 468 is 3.

1. What is the GCD of 897, 753, 663, 468?

GCD of given numbers 897, 753, 663, 468 is 3

2. How to calculate the greatest common divisor of 897, 753, 663, 468?

We can find the highest common divisor of 897, 753, 663, 468 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 897, 753, 663, 468 i.e 3.

3. How can I use the GCD of 897, 753, 663, 468Calculator?

Out the numbers 897, 753, 663, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.