GCD of 926, 978, 742, 226 Calculator

Given Input numbers are 926, 978, 742, 226

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

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

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 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

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 926, 978, 742, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 926, 978, 742, 226 is 2.

Therefore, GCD of numbers 926, 978, 742, 226 is 2

Given Input Data is 926, 978, 742, 226

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

Prime Factorization of 926 is 2 x 463

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 226 is 2 x 113

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(926, 978) = 452814

GCD(926, 978) = ( 926 x 978 ) / 452814

GCD(926, 978) = 905628 / 452814

GCD(926, 978) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 742

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

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

GCD(2, 742) = 1484 / 742

GCD(2, 742) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 226

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

LCM(2, 226) = 226

GCD(2, 226) = ( 2 x 226 ) / 226

GCD(2, 226) = 452 / 226

GCD(2, 226) = 2

GCD of 926, 978, 742, 226 is 2

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1. What is the GCD of 926, 978, 742, 226?

GCD of 926, 978, 742, 226 is 2

2. Where do I get the detailed procedure to find GCD of 926, 978, 742, 226?

You can find a detailed procedure to find GCD of 926, 978, 742, 226 on our page.

3. How to find GCD of 926, 978, 742, 226 on a calculator?

You can find the GCD of 926, 978, 742, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.