GCD of 169, 199, 60, 975 Calculator

Given Input numbers are 169, 199, 60, 975

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

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 169, 199, 60, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 199, 60, 975 is 1.

Therefore, GCD of numbers 169, 199, 60, 975 is 1

Given Input Data is 169, 199, 60, 975

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

Prime Factorization of 169 is 13 x 13

Prime Factorization of 199 is 199

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 975 is 3 x 5 x 5 x 13

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(169, 199) = 33631

GCD(169, 199) = ( 169 x 199 ) / 33631

GCD(169, 199) = 33631 / 33631

GCD(169, 199) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 169, 199, 60, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 336, 91, 967
• GCD of 485, 143, 33, 396
• GCD of 139, 665, 57, 812
• GCD of 870, 927, 50, 598
• GCD of 911, 582, 70, 957

1. What is the GCD of 169, 199, 60, 975?

GCD of 169, 199, 60, 975 is 1

2. Where do I get the detailed procedure to find GCD of 169, 199, 60, 975?

You can find a detailed procedure to find GCD of 169, 199, 60, 975 on our page.

3. How to find GCD of 169, 199, 60, 975 on a calculator?

You can find the GCD of 169, 199, 60, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.