GCD of 195, 770, 153, 994 Calculator

Given Input numbers are 195, 770, 153, 994

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

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 195, 770, 153, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 770, 153, 994 is 1.

Therefore, GCD of numbers 195, 770, 153, 994 is 1

Given Input Data is 195, 770, 153, 994

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

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 994 is 2 x 7 x 71

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(195, 770) = 30030

GCD(195, 770) = ( 195 x 770 ) / 30030

GCD(195, 770) = 150150 / 30030

GCD(195, 770) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 153

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

LCM(5, 153) = 765

GCD(5, 153) = ( 5 x 153 ) / 765

GCD(5, 153) = 765 / 765

GCD(5, 153) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 195, 770, 153, 994 is 1

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1. What is the GCD of 195, 770, 153, 994?

GCD of 195, 770, 153, 994 is 1

2. Where do I get the detailed procedure to find GCD of 195, 770, 153, 994?

You can find a detailed procedure to find GCD of 195, 770, 153, 994 on our page.

3. How to find GCD of 195, 770, 153, 994 on a calculator?

You can find the GCD of 195, 770, 153, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.