GCD of 108, 788, 300, 986 Calculator

Given Input numbers are 108, 788, 300, 986

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 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 986 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (108, 788, 300, 986) = 2.

Given numbers are 108, 788, 300, 986

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 788 are 2 x 2 x 197

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 986 are 2 x 17 x 29

The highest common occurrence is 2¹

Therefore, GCD of 108, 788, 300, 986 is 2.

Given numbers are 108, 788, 300, 986

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

Apply this formula for all numbers.

Step1:

LCM(108, 788) = 21276

GCD(108, 788) = ( 108 x 788 ) / 21276

= 108 / 788

= 108

Step2:

LCM(4, 300) = 300

GCD(4, 300) = ( 4 x 300 ) / 300

= 4 / 300

= 4

Step3:

LCM(4, 986) = 1972

GCD(4, 986) = ( 4 x 986 ) / 1972

= 4 / 986

= 4

So, Greatest Common Divisor of 108, 788, 300, 986 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 618, 675, 112
• GCD of 571, 774, 687, 603
• GCD of 919, 351, 858, 260
• GCD of 499, 202, 998, 558
• GCD of 300, 938, 264, 152

Given numbers are 108, 788, 300, 986
The greatest common divisor of numbers 108, 788, 300, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 788, 300, 986 is 2.

1. What is the GCD of 108, 788, 300, 986?

GCD of given numbers 108, 788, 300, 986 is 2

2. How to calculate the greatest common divisor of 108, 788, 300, 986?

We can find the highest common divisor of 108, 788, 300, 986 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, 788, 300, 986 i.e 2.

3. How can I use the GCD of 108, 788, 300, 986Calculator?

Out the numbers 108, 788, 300, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.