GCD of 99, 740, 185, 706 Calculator

Given Input numbers are 99, 740, 185, 706

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 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 99, 740, 185, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 740, 185, 706 is 1.

Therefore, GCD of numbers 99, 740, 185, 706 is 1

Given Input Data is 99, 740, 185, 706

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 740 is 2 x 2 x 5 x 37

Prime Factorization of 185 is 5 x 37

Prime Factorization of 706 is 2 x 353

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, 740) = 73260

GCD(99, 740) = ( 99 x 740 ) / 73260

GCD(99, 740) = 73260 / 73260

GCD(99, 740) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 185

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

LCM(1, 185) = 185

GCD(1, 185) = ( 1 x 185 ) / 185

GCD(1, 185) = 185 / 185

GCD(1, 185) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 99, 740, 185, 706 is 1

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1. What is the GCD of 99, 740, 185, 706?

GCD of 99, 740, 185, 706 is 1

2. Where do I get the detailed procedure to find GCD of 99, 740, 185, 706?

You can find a detailed procedure to find GCD of 99, 740, 185, 706 on our page.

3. How to find GCD of 99, 740, 185, 706 on a calculator?

You can find the GCD of 99, 740, 185, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.