GCD of 897, 747, 591, 504 Calculator

Given Input numbers are 897, 747, 591, 504

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 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (897, 747, 591, 504) = 3.

Given numbers are 897, 747, 591, 504

The list of prime factors of all numbers are

Prime factors of 897 are 3 x 13 x 23

Prime factors of 747 are 3 x 3 x 83

Prime factors of 591 are 3 x 197

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 897, 747, 591, 504 is 3.

Given numbers are 897, 747, 591, 504

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

Apply this formula for all numbers.

Step1:

LCM(897, 747) = 223353

GCD(897, 747) = ( 897 x 747 ) / 223353

= 897 / 747

= 897

Step2:

LCM(3, 591) = 591

GCD(3, 591) = ( 3 x 591 ) / 591

= 3 / 591

= 3

Step3:

LCM(3, 504) = 504

GCD(3, 504) = ( 3 x 504 ) / 504

= 3 / 504

= 3

So, Greatest Common Divisor of 897, 747, 591, 504 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 575, 746, 959
• GCD of 466, 162, 790, 694
• GCD of 385, 230, 585, 154
• GCD of 628, 782, 797, 793
• GCD of 117, 488, 208, 289

Given numbers are 897, 747, 591, 504
The greatest common divisor of numbers 897, 747, 591, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 747, 591, 504 is 3.

1. What is the GCD of 897, 747, 591, 504?

GCD of given numbers 897, 747, 591, 504 is 3

2. How to calculate the greatest common divisor of 897, 747, 591, 504?

We can find the highest common divisor of 897, 747, 591, 504 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, 747, 591, 504 i.e 3.

3. How can I use the GCD of 897, 747, 591, 504Calculator?

Out the numbers 897, 747, 591, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.