GCD of 108, 206, 989, 266 Calculator

Given Input numbers are 108, 206, 989, 266

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 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

GCD of numbers is the greatest common divisor

So, the GCD (108, 206, 989, 266) = 1.

Given numbers are 108, 206, 989, 266

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 206 are 2 x 103

Prime factors of 989 are 23 x 43

Prime factors of 266 are 2 x 7 x 19

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 108, 206, 989, 266

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

Apply this formula for all numbers.

Step1:

LCM(108, 206) = 11124

GCD(108, 206) = ( 108 x 206 ) / 11124

= 108 / 206

= 108

Step2:

LCM(2, 989) = 1978

GCD(2, 989) = ( 2 x 989 ) / 1978

= 2 / 989

= 2

Step3:

LCM(1, 266) = 266

GCD(1, 266) = ( 1 x 266 ) / 266

= 1 / 266

= 1

So, Greatest Common Divisor of 108, 206, 989, 266 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 797, 879, 151
• GCD of 736, 296, 869, 339
• GCD of 764, 187, 637, 951
• GCD of 783, 513, 380, 353
• GCD of 618, 433, 208, 321

Given numbers are 108, 206, 989, 266
The greatest common divisor of numbers 108, 206, 989, 266 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 206, 989, 266 is 1.

1. What is the GCD of 108, 206, 989, 266?

GCD of given numbers 108, 206, 989, 266 is 1

2. How to calculate the greatest common divisor of 108, 206, 989, 266?

We can find the highest common divisor of 108, 206, 989, 266 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, 206, 989, 266 i.e 1.

3. How can I use the GCD of 108, 206, 989, 266Calculator?

Out the numbers 108, 206, 989, 266 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.