GCD of 989, 418, 119, 108 Calculator

Given Input numbers are 989, 418, 119, 108

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

Divisors of 989 :

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

1, 23, 43, 989

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 119 :

The positive integer divisors of 119 that completely divides 119 are.

1, 7, 17, 119

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

GCD of numbers is the greatest common divisor

So, the GCD (989, 418, 119, 108) = 1.

Given numbers are 989, 418, 119, 108

The list of prime factors of all numbers are

Prime factors of 989 are 23 x 43

Prime factors of 418 are 2 x 11 x 19

Prime factors of 119 are 7 x 17

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

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

Given numbers are 989, 418, 119, 108

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

Apply this formula for all numbers.

Step1:

LCM(989, 418) = 413402

GCD(989, 418) = ( 989 x 418 ) / 413402

= 989 / 418

= 989

Step2:

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

= 1 / 119

= 1

Step3:

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

= 1 / 108

= 1

So, Greatest Common Divisor of 989, 418, 119, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 484, 838, 682, 363
• GCD of 422, 182, 123, 391
• GCD of 299, 991, 179, 205
• GCD of 855, 874, 133, 806
• GCD of 877, 320, 193, 665

Given numbers are 989, 418, 119, 108
The greatest common divisor of numbers 989, 418, 119, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 989, 418, 119, 108 is 1.

1. What is the GCD of 989, 418, 119, 108?

GCD of given numbers 989, 418, 119, 108 is 1

2. How to calculate the greatest common divisor of 989, 418, 119, 108?

We can find the highest common divisor of 989, 418, 119, 108 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 989, 418, 119, 108 i.e 1.

3. How can I use the GCD of 989, 418, 119, 108Calculator?

Out the numbers 989, 418, 119, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.