GCD of 978, 357, 11, 226 Calculator

Given Input numbers are 978, 357, 11, 226

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

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 226

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

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 978, 357, 11, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 357, 11, 226 is 1.

Therefore, GCD of numbers 978, 357, 11, 226 is 1

Given Input Data is 978, 357, 11, 226

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 11 is 11

Prime Factorization of 226 is 2 x 113

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(978, 357) = 116382

GCD(978, 357) = ( 978 x 357 ) / 116382

GCD(978, 357) = 349146 / 116382

GCD(978, 357) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 11

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

LCM(3, 11) = 33

GCD(3, 11) = ( 3 x 11 ) / 33

GCD(3, 11) = 33 / 33

GCD(3, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 226

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

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

GCD(1, 226) = 226 / 226

GCD(1, 226) = 1

GCD of 978, 357, 11, 226 is 1

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1. What is the GCD of 978, 357, 11, 226?

GCD of 978, 357, 11, 226 is 1

2. Where do I get the detailed procedure to find GCD of 978, 357, 11, 226?

You can find a detailed procedure to find GCD of 978, 357, 11, 226 on our page.

3. How to find GCD of 978, 357, 11, 226 on a calculator?

You can find the GCD of 978, 357, 11, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.