GCD of 891, 369, 207 Calculator

Given Input numbers are 891, 369, 207

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 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

GCD of numbers is the greatest common divisor

So, the GCD (891, 369, 207) = 9.

Given numbers are 891, 369, 207

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 369 are 3 x 3 x 41

Prime factors of 207 are 3 x 3 x 23

The highest common occurrence is 3²

Therefore, GCD of 891, 369, 207 is 9.

Given numbers are 891, 369, 207

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

Apply this formula for all numbers.

Step1:

LCM(891, 369) = 36531

GCD(891, 369) = ( 891 x 369 ) / 36531

= 891 / 369

= 891

Step2:

LCM(9, 207) = 207

GCD(9, 207) = ( 9 x 207 ) / 207

= 9 / 207

= 9

So, Greatest Common Divisor of 891, 369, 207 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 207, 895, 893
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Given numbers are 891, 369, 207
The greatest common divisor of numbers 891, 369, 207 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 369, 207 is 9.

1. What is the GCD of 891, 369, 207?

GCD of given numbers 891, 369, 207 is 9

2. How to calculate the greatest common divisor of 891, 369, 207?

We can find the highest common divisor of 891, 369, 207 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, 369, 207 i.e 9.

3. How can I use the GCD of 891, 369, 207Calculator?

Out the numbers 891, 369, 207 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.