GCD of 99, 583, 615, 152 Calculator

Given Input numbers are 99, 583, 615, 152

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 99, 583, 615, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 583, 615, 152 is 1.

Therefore, GCD of numbers 99, 583, 615, 152 is 1

Given Input Data is 99, 583, 615, 152

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 583 is 11 x 53

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 152 is 2 x 2 x 2 x 19

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(99, 583) = 5247

GCD(99, 583) = ( 99 x 583 ) / 5247

GCD(99, 583) = 57717 / 5247

GCD(99, 583) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 615

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

LCM(11, 615) = 6765

GCD(11, 615) = ( 11 x 615 ) / 6765

GCD(11, 615) = 6765 / 6765

GCD(11, 615) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 99, 583, 615, 152 is 1

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1. What is the GCD of 99, 583, 615, 152?

GCD of 99, 583, 615, 152 is 1

2. Where do I get the detailed procedure to find GCD of 99, 583, 615, 152?

You can find a detailed procedure to find GCD of 99, 583, 615, 152 on our page.

3. How to find GCD of 99, 583, 615, 152 on a calculator?

You can find the GCD of 99, 583, 615, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.