GCD of 340, 275, 293, 165 Calculator

Given Input numbers are 340, 275, 293, 165

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 340, 275, 293, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 275, 293, 165 is 1.

Therefore, GCD of numbers 340, 275, 293, 165 is 1

Given Input Data is 340, 275, 293, 165

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 293 is 293

Prime Factorization of 165 is 3 x 5 x 11

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(340, 275) = 18700

GCD(340, 275) = ( 340 x 275 ) / 18700

GCD(340, 275) = 93500 / 18700

GCD(340, 275) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 293

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

LCM(5, 293) = 1465

GCD(5, 293) = ( 5 x 293 ) / 1465

GCD(5, 293) = 1465 / 1465

GCD(5, 293) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 340, 275, 293, 165 is 1

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1. What is the GCD of 340, 275, 293, 165?

GCD of 340, 275, 293, 165 is 1

2. Where do I get the detailed procedure to find GCD of 340, 275, 293, 165?

You can find a detailed procedure to find GCD of 340, 275, 293, 165 on our page.

3. How to find GCD of 340, 275, 293, 165 on a calculator?

You can find the GCD of 340, 275, 293, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.