GCD of 375, 259, 90, 169 Calculator

Given Input numbers are 375, 259, 90, 169

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

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 169

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

1, 13, 169

Greatest Common Divisior

We found the divisors of 375, 259, 90, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 259, 90, 169 is 1.

Therefore, GCD of numbers 375, 259, 90, 169 is 1

Given Input Data is 375, 259, 90, 169

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

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 259 is 7 x 37

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 169 is 13 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(375, 259) = 97125

GCD(375, 259) = ( 375 x 259 ) / 97125

GCD(375, 259) = 97125 / 97125

GCD(375, 259) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 375, 259, 90, 169 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 667, 10, 633
• GCD of 357, 917, 52, 736
• GCD of 952, 632, 43, 985
• GCD of 126, 402, 62, 789
• GCD of 230, 789, 21, 210

1. What is the GCD of 375, 259, 90, 169?

GCD of 375, 259, 90, 169 is 1

2. Where do I get the detailed procedure to find GCD of 375, 259, 90, 169?

You can find a detailed procedure to find GCD of 375, 259, 90, 169 on our page.

3. How to find GCD of 375, 259, 90, 169 on a calculator?

You can find the GCD of 375, 259, 90, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.