GCD of 108, 102, 897, 207 Calculator

Given Input numbers are 108, 102, 897, 207

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 897 :

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

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

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 (108, 102, 897, 207) = 3.

Given numbers are 108, 102, 897, 207

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 102 are 2 x 3 x 17

Prime factors of 897 are 3 x 13 x 23

Prime factors of 207 are 3 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 108, 102, 897, 207 is 3.

Given numbers are 108, 102, 897, 207

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

Apply this formula for all numbers.

Step1:

LCM(108, 102) = 1836

GCD(108, 102) = ( 108 x 102 ) / 1836

= 108 / 102

= 108

Step2:

LCM(6, 897) = 1794

GCD(6, 897) = ( 6 x 897 ) / 1794

= 6 / 897

= 6

Step3:

LCM(3, 207) = 207

GCD(3, 207) = ( 3 x 207 ) / 207

= 3 / 207

= 3

So, Greatest Common Divisor of 108, 102, 897, 207 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 479, 476, 112, 908
• GCD of 382, 610, 311, 673
• GCD of 185, 637, 935, 523
• GCD of 897, 256, 544, 468
• GCD of 993, 192, 922, 239

Given numbers are 108, 102, 897, 207
The greatest common divisor of numbers 108, 102, 897, 207 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 102, 897, 207 is 3.

1. What is the GCD of 108, 102, 897, 207?

GCD of given numbers 108, 102, 897, 207 is 3

2. How to calculate the greatest common divisor of 108, 102, 897, 207?

We can find the highest common divisor of 108, 102, 897, 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 108, 102, 897, 207 i.e 3.

3. How can I use the GCD of 108, 102, 897, 207Calculator?

Out the numbers 108, 102, 897, 207 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.