GCD of 145, 280, 59, 169 Calculator

Given Input numbers are 145, 280, 59, 169

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

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 145, 280, 59, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 280, 59, 169 is 1.

Therefore, GCD of numbers 145, 280, 59, 169 is 1

Given Input Data is 145, 280, 59, 169

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 59 is 59

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(145, 280) = 8120

GCD(145, 280) = ( 145 x 280 ) / 8120

GCD(145, 280) = 40600 / 8120

GCD(145, 280) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 59

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

LCM(5, 59) = 295

GCD(5, 59) = ( 5 x 59 ) / 295

GCD(5, 59) = 295 / 295

GCD(5, 59) = 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 145, 280, 59, 169 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 845, 970, 83, 363
• GCD of 220, 745, 65, 326
• GCD of 718, 358, 36, 167
• GCD of 708, 365, 82, 334
• GCD of 302, 127, 61, 253

1. What is the GCD of 145, 280, 59, 169?

GCD of 145, 280, 59, 169 is 1

2. Where do I get the detailed procedure to find GCD of 145, 280, 59, 169?

You can find a detailed procedure to find GCD of 145, 280, 59, 169 on our page.

3. How to find GCD of 145, 280, 59, 169 on a calculator?

You can find the GCD of 145, 280, 59, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.