GCD of 838, 574, 90, 122 Calculator

Given Input numbers are 838, 574, 90, 122

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

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 838, 574, 90, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 574, 90, 122 is 2.

Therefore, GCD of numbers 838, 574, 90, 122 is 2

Given Input Data is 838, 574, 90, 122

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 122 is 2 x 61

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(838, 574) = 240506

GCD(838, 574) = ( 838 x 574 ) / 240506

GCD(838, 574) = 481012 / 240506

GCD(838, 574) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 122

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

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

GCD(2, 122) = 244 / 122

GCD(2, 122) = 2

GCD of 838, 574, 90, 122 is 2

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• GCD of 669, 932, 80, 697
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• GCD of 778, 411, 71, 999

1. What is the GCD of 838, 574, 90, 122?

GCD of 838, 574, 90, 122 is 2

2. Where do I get the detailed procedure to find GCD of 838, 574, 90, 122?

You can find a detailed procedure to find GCD of 838, 574, 90, 122 on our page.

3. How to find GCD of 838, 574, 90, 122 on a calculator?

You can find the GCD of 838, 574, 90, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.