GCD of 240, 353, 217, 890 Calculator

Given Input numbers are 240, 353, 217, 890

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 240, 353, 217, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 353, 217, 890 is 1.

Therefore, GCD of numbers 240, 353, 217, 890 is 1

Given Input Data is 240, 353, 217, 890

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 353 is 353

Prime Factorization of 217 is 7 x 31

Prime Factorization of 890 is 2 x 5 x 89

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(240, 353) = 84720

GCD(240, 353) = ( 240 x 353 ) / 84720

GCD(240, 353) = 84720 / 84720

GCD(240, 353) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 890

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

LCM(1, 890) = 890

GCD(1, 890) = ( 1 x 890 ) / 890

GCD(1, 890) = 890 / 890

GCD(1, 890) = 1

GCD of 240, 353, 217, 890 is 1

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• GCD of 734, 262, 780, 909
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1. What is the GCD of 240, 353, 217, 890?

GCD of 240, 353, 217, 890 is 1

2. Where do I get the detailed procedure to find GCD of 240, 353, 217, 890?

You can find a detailed procedure to find GCD of 240, 353, 217, 890 on our page.

3. How to find GCD of 240, 353, 217, 890 on a calculator?

You can find the GCD of 240, 353, 217, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.