GCD of 891, 387, 447, 609 Calculator

Given Input numbers are 891, 387, 447, 609

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

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

GCD of numbers is the greatest common divisor

So, the GCD (891, 387, 447, 609) = 3.

Given numbers are 891, 387, 447, 609

The list of prime factors of all numbers are

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 387 are 3 x 3 x 43

Prime factors of 447 are 3 x 149

Prime factors of 609 are 3 x 7 x 29

The highest common occurrence is 3¹

Therefore, GCD of 891, 387, 447, 609 is 3.

Given numbers are 891, 387, 447, 609

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

Apply this formula for all numbers.

Step1:

LCM(891, 387) = 38313

GCD(891, 387) = ( 891 x 387 ) / 38313

= 891 / 387

= 891

Step2:

LCM(9, 447) = 1341

GCD(9, 447) = ( 9 x 447 ) / 1341

= 9 / 447

= 9

Step3:

LCM(3, 609) = 609

GCD(3, 609) = ( 3 x 609 ) / 609

= 3 / 609

= 3

So, Greatest Common Divisor of 891, 387, 447, 609 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 175, 939, 804, 332
• GCD of 171, 782, 111, 839
• GCD of 790, 125, 221, 427
• GCD of 202, 597, 894, 346
• GCD of 418, 749, 486, 681

Given numbers are 891, 387, 447, 609
The greatest common divisor of numbers 891, 387, 447, 609 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 387, 447, 609 is 3.

1. What is the GCD of 891, 387, 447, 609?

GCD of given numbers 891, 387, 447, 609 is 3

2. How to calculate the greatest common divisor of 891, 387, 447, 609?

We can find the highest common divisor of 891, 387, 447, 609 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 891, 387, 447, 609 i.e 3.

3. How can I use the GCD of 891, 387, 447, 609Calculator?

Out the numbers 891, 387, 447, 609 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.