GCD of 226, 420, 942, 317 Calculator

Given Input numbers are 226, 420, 942, 317

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Greatest Common Divisior

We found the divisors of 226, 420, 942, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 420, 942, 317 is 1.

Therefore, GCD of numbers 226, 420, 942, 317 is 1

Given Input Data is 226, 420, 942, 317

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 317 is 317

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(226, 420) = 47460

GCD(226, 420) = ( 226 x 420 ) / 47460

GCD(226, 420) = 94920 / 47460

GCD(226, 420) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 942

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

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

GCD(2, 942) = 1884 / 942

GCD(2, 942) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 317

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

LCM(2, 317) = 634

GCD(2, 317) = ( 2 x 317 ) / 634

GCD(2, 317) = 634 / 634

GCD(2, 317) = 1

GCD of 226, 420, 942, 317 is 1

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• GCD of 773, 255, 624, 342
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1. What is the GCD of 226, 420, 942, 317?

GCD of 226, 420, 942, 317 is 1

2. Where do I get the detailed procedure to find GCD of 226, 420, 942, 317?

You can find a detailed procedure to find GCD of 226, 420, 942, 317 on our page.

3. How to find GCD of 226, 420, 942, 317 on a calculator?

You can find the GCD of 226, 420, 942, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.