GCD of 986, 390, 916, 180 Calculator

Given Input numbers are 986, 390, 916, 180

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 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (986, 390, 916, 180) = 2.

Given numbers are 986, 390, 916, 180

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 916 are 2 x 2 x 229

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 986, 390, 916, 180 is 2.

Given numbers are 986, 390, 916, 180

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

Apply this formula for all numbers.

Step1:

LCM(986, 390) = 192270

GCD(986, 390) = ( 986 x 390 ) / 192270

= 986 / 390

= 986

Step2:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

Step3:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

So, Greatest Common Divisor of 986, 390, 916, 180 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 460, 301, 745
• GCD of 424, 939, 938, 535
• GCD of 171, 281, 548, 938
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• GCD of 772, 987, 773, 846

Given numbers are 986, 390, 916, 180
The greatest common divisor of numbers 986, 390, 916, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 390, 916, 180 is 2.

1. What is the GCD of 986, 390, 916, 180?

GCD of given numbers 986, 390, 916, 180 is 2

2. How to calculate the greatest common divisor of 986, 390, 916, 180?

We can find the highest common divisor of 986, 390, 916, 180 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, 390, 916, 180 i.e 2.

3. How can I use the GCD of 986, 390, 916, 180Calculator?

Out the numbers 986, 390, 916, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.