GCD of 106, 988, 780, 992 Calculator

Given Input numbers are 106, 988, 780, 992

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

GCD of numbers is the greatest common divisor

So, the GCD (106, 988, 780, 992) = 2.

Given numbers are 106, 988, 780, 992

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 106, 988, 780, 992 is 2.

Given numbers are 106, 988, 780, 992

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

Apply this formula for all numbers.

Step1:

LCM(106, 988) = 52364

GCD(106, 988) = ( 106 x 988 ) / 52364

= 106 / 988

= 106

Step2:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

Step3:

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

= 2 / 992

= 2

So, Greatest Common Divisor of 106, 988, 780, 992 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 608, 551, 110
• GCD of 585, 815, 148, 512
• GCD of 324, 998, 514, 478
• GCD of 195, 536, 910, 159
• GCD of 518, 734, 813, 156

Given numbers are 106, 988, 780, 992
The greatest common divisor of numbers 106, 988, 780, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 988, 780, 992 is 2.

1. What is the GCD of 106, 988, 780, 992?

GCD of given numbers 106, 988, 780, 992 is 2

2. How to calculate the greatest common divisor of 106, 988, 780, 992?

We can find the highest common divisor of 106, 988, 780, 992 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 106, 988, 780, 992 i.e 2.

3. How can I use the GCD of 106, 988, 780, 992Calculator?

Out the numbers 106, 988, 780, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.