GCD of 259, 147, 169, 259 Calculator

Given Input numbers are 259, 147, 169, 259

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

Divisors of 259

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

1, 7, 37, 259

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 169

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

1, 13, 169

Divisors of 259

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

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 259, 147, 169, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 147, 169, 259 is 1.

Therefore, GCD of numbers 259, 147, 169, 259 is 1

Given Input Data is 259, 147, 169, 259

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 169 is 13 x 13

Prime Factorization of 259 is 7 x 37

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(259, 147) = 5439

GCD(259, 147) = ( 259 x 147 ) / 5439

GCD(259, 147) = 38073 / 5439

GCD(259, 147) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 169

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

LCM(7, 169) = 1183

GCD(7, 169) = ( 7 x 169 ) / 1183

GCD(7, 169) = 1183 / 1183

GCD(7, 169) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 259

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

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

GCD(1, 259) = 259 / 259

GCD(1, 259) = 1

GCD of 259, 147, 169, 259 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 774, 733, 775, 963
• GCD of 997, 831, 670, 157
• GCD of 717, 776, 311, 575
• GCD of 976, 485, 979, 878
• GCD of 954, 224, 940, 982

1. What is the GCD of 259, 147, 169, 259?

GCD of 259, 147, 169, 259 is 1

2. Where do I get the detailed procedure to find GCD of 259, 147, 169, 259?

You can find a detailed procedure to find GCD of 259, 147, 169, 259 on our page.

3. How to find GCD of 259, 147, 169, 259 on a calculator?

You can find the GCD of 259, 147, 169, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.