GCD of 280, 135, 17, 292 Calculator

Given Input numbers are 280, 135, 17, 292

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

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 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 280, 135, 17, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 135, 17, 292 is 1.

Therefore, GCD of numbers 280, 135, 17, 292 is 1

Given Input Data is 280, 135, 17, 292

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

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 17 is 17

Prime Factorization of 292 is 2 x 2 x 73

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(280, 135) = 7560

GCD(280, 135) = ( 280 x 135 ) / 7560

GCD(280, 135) = 37800 / 7560

GCD(280, 135) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 17

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

LCM(5, 17) = 85

GCD(5, 17) = ( 5 x 17 ) / 85

GCD(5, 17) = 85 / 85

GCD(5, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 292

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

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

GCD(1, 292) = 292 / 292

GCD(1, 292) = 1

GCD of 280, 135, 17, 292 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 157, 186, 86, 293
• GCD of 663, 159, 70, 870
• GCD of 320, 759, 13, 931
• GCD of 130, 211, 35, 771
• GCD of 267, 150, 43, 355

1. What is the GCD of 280, 135, 17, 292?

GCD of 280, 135, 17, 292 is 1

2. Where do I get the detailed procedure to find GCD of 280, 135, 17, 292?

You can find a detailed procedure to find GCD of 280, 135, 17, 292 on our page.

3. How to find GCD of 280, 135, 17, 292 on a calculator?

You can find the GCD of 280, 135, 17, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.