GCD of 356, 142, 494, 217 Calculator

Given Input numbers are 356, 142, 494, 217

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 217

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

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 356, 142, 494, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 142, 494, 217 is 1.

Therefore, GCD of numbers 356, 142, 494, 217 is 1

Given Input Data is 356, 142, 494, 217

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 142 is 2 x 71

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 217 is 7 x 31

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(356, 142) = 25276

GCD(356, 142) = ( 356 x 142 ) / 25276

GCD(356, 142) = 50552 / 25276

GCD(356, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 494

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

LCM(2, 494) = 494

GCD(2, 494) = ( 2 x 494 ) / 494

GCD(2, 494) = 988 / 494

GCD(2, 494) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 217

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

LCM(2, 217) = 434

GCD(2, 217) = ( 2 x 217 ) / 434

GCD(2, 217) = 434 / 434

GCD(2, 217) = 1

GCD of 356, 142, 494, 217 is 1

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• GCD of 865, 780, 288, 247
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1. What is the GCD of 356, 142, 494, 217?

GCD of 356, 142, 494, 217 is 1

2. Where do I get the detailed procedure to find GCD of 356, 142, 494, 217?

You can find a detailed procedure to find GCD of 356, 142, 494, 217 on our page.

3. How to find GCD of 356, 142, 494, 217 on a calculator?

You can find the GCD of 356, 142, 494, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.