GCD of 195, 860, 99, 253 Calculator

Given Input numbers are 195, 860, 99, 253

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 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 195, 860, 99, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 860, 99, 253 is 1.

Therefore, GCD of numbers 195, 860, 99, 253 is 1

Given Input Data is 195, 860, 99, 253

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 860 is 2 x 2 x 5 x 43

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 253 is 11 x 23

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, 860) = 33540

GCD(195, 860) = ( 195 x 860 ) / 33540

GCD(195, 860) = 167700 / 33540

GCD(195, 860) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 99

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

LCM(5, 99) = 495

GCD(5, 99) = ( 5 x 99 ) / 495

GCD(5, 99) = 495 / 495

GCD(5, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 195, 860, 99, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 706, 27, 310
• GCD of 719, 216, 15, 992
• GCD of 389, 493, 81, 936
• GCD of 568, 522, 84, 558
• GCD of 991, 901, 48, 821

1. What is the GCD of 195, 860, 99, 253?

GCD of 195, 860, 99, 253 is 1

2. Where do I get the detailed procedure to find GCD of 195, 860, 99, 253?

You can find a detailed procedure to find GCD of 195, 860, 99, 253 on our page.

3. How to find GCD of 195, 860, 99, 253 on a calculator?

You can find the GCD of 195, 860, 99, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.