GCD of 305, 385, 990, 100 Calculator

Given Input numbers are 305, 385, 990, 100

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

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

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 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 (305, 385, 990, 100) = 5.

Given numbers are 305, 385, 990, 100

The list of prime factors of all numbers are

Prime factors of 305 are 5 x 61

Prime factors of 385 are 5 x 7 x 11

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

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

The highest common occurrence is 5¹

Therefore, GCD of 305, 385, 990, 100 is 5.

Given numbers are 305, 385, 990, 100

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

Apply this formula for all numbers.

Step1:

LCM(305, 385) = 23485

GCD(305, 385) = ( 305 x 385 ) / 23485

= 305 / 385

= 305

Step2:

LCM(5, 990) = 990

GCD(5, 990) = ( 5 x 990 ) / 990

= 5 / 990

= 5

Step3:

LCM(5, 100) = 100

GCD(5, 100) = ( 5 x 100 ) / 100

= 5 / 100

= 5

So, Greatest Common Divisor of 305, 385, 990, 100 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 160, 293, 664, 969
• GCD of 231, 943, 556, 965
• GCD of 263, 746, 995, 155
• GCD of 516, 764, 367, 219
• GCD of 233, 121, 485, 392

Given numbers are 305, 385, 990, 100
The greatest common divisor of numbers 305, 385, 990, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 305, 385, 990, 100 is 5.

1. What is the GCD of 305, 385, 990, 100?

GCD of given numbers 305, 385, 990, 100 is 5

2. How to calculate the greatest common divisor of 305, 385, 990, 100?

We can find the highest common divisor of 305, 385, 990, 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 305, 385, 990, 100 i.e 5.

3. How can I use the GCD of 305, 385, 990, 100Calculator?

Out the numbers 305, 385, 990, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.