GCD of 986, 990, 107 Calculator

Given Input numbers are 986, 990, 107

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

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

GCD of numbers is the greatest common divisor

So, the GCD (986, 990, 107) = 1.

Given numbers are 986, 990, 107

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 107 are 107

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

Given numbers are 986, 990, 107

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

Apply this formula for all numbers.

Step1:

LCM(986, 990) = 488070

GCD(986, 990) = ( 986 x 990 ) / 488070

= 986 / 990

= 986

Step2:

LCM(2, 107) = 214

GCD(2, 107) = ( 2 x 107 ) / 214

= 2 / 107

= 2

So, Greatest Common Divisor of 986, 990, 107 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 229, 664
• GCD of 601, 142, 684
• GCD of 109, 156, 655
• GCD of 215, 519, 578
• GCD of 993, 666, 846

Given numbers are 986, 990, 107
The greatest common divisor of numbers 986, 990, 107 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 990, 107 is 1.

1. What is the GCD of 986, 990, 107?

GCD of given numbers 986, 990, 107 is 1

2. How to calculate the greatest common divisor of 986, 990, 107?

We can find the highest common divisor of 986, 990, 107 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 986, 990, 107 i.e 1.

3. How can I use the GCD of 986, 990, 107Calculator?

Out the numbers 986, 990, 107 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.