GCD of 916, 990, 130, 100 Calculator

Given Input numbers are 916, 990, 130, 100

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

Divisors of 916 :

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

1, 2, 4, 229, 458, 916

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 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (916, 990, 130, 100) = 2.

Given numbers are 916, 990, 130, 100

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

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

Prime factors of 130 are 2 x 5 x 13

Prime factors of 100 are 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 916, 990, 130, 100 is 2.

Given numbers are 916, 990, 130, 100

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

Apply this formula for all numbers.

Step1:

LCM(916, 990) = 453420

GCD(916, 990) = ( 916 x 990 ) / 453420

= 916 / 990

= 916

Step2:

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

= 2 / 130

= 2

Step3:

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

= 2 / 100

= 2

So, Greatest Common Divisor of 916, 990, 130, 100 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 256, 504, 983, 229
• GCD of 379, 705, 859, 958
• GCD of 556, 748, 956, 351
• GCD of 846, 920, 578, 683
• GCD of 365, 939, 758, 617

Given numbers are 916, 990, 130, 100
The greatest common divisor of numbers 916, 990, 130, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 990, 130, 100 is 2.

1. What is the GCD of 916, 990, 130, 100?

GCD of given numbers 916, 990, 130, 100 is 2

2. How to calculate the greatest common divisor of 916, 990, 130, 100?

We can find the highest common divisor of 916, 990, 130, 100 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 916, 990, 130, 100 i.e 2.

3. How can I use the GCD of 916, 990, 130, 100Calculator?

Out the numbers 916, 990, 130, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.