GCD of 293, 319, 168, 220 Calculator

Given Input numbers are 293, 319, 168, 220

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

Divisors of 293

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

1, 293

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 293, 319, 168, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 293, 319, 168, 220 is 1.

Therefore, GCD of numbers 293, 319, 168, 220 is 1

Given Input Data is 293, 319, 168, 220

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

Prime Factorization of 293 is 293

Prime Factorization of 319 is 11 x 29

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 220 is 2 x 2 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(293, 319) = 93467

GCD(293, 319) = ( 293 x 319 ) / 93467

GCD(293, 319) = 93467 / 93467

GCD(293, 319) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 168

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

LCM(1, 168) = 168

GCD(1, 168) = ( 1 x 168 ) / 168

GCD(1, 168) = 168 / 168

GCD(1, 168) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

GCD of 293, 319, 168, 220 is 1

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1. What is the GCD of 293, 319, 168, 220?

GCD of 293, 319, 168, 220 is 1

2. Where do I get the detailed procedure to find GCD of 293, 319, 168, 220?

You can find a detailed procedure to find GCD of 293, 319, 168, 220 on our page.

3. How to find GCD of 293, 319, 168, 220 on a calculator?

You can find the GCD of 293, 319, 168, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.