GCD of 532, 850, 106, 838 Calculator

Given Input numbers are 532, 850, 106, 838

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

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 838

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

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 532, 850, 106, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 850, 106, 838 is 2.

Therefore, GCD of numbers 532, 850, 106, 838 is 2

Given Input Data is 532, 850, 106, 838

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

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 106 is 2 x 53

Prime Factorization of 838 is 2 x 419

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(532, 850) = 226100

GCD(532, 850) = ( 532 x 850 ) / 226100

GCD(532, 850) = 452200 / 226100

GCD(532, 850) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 106

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

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

GCD(2, 106) = 212 / 106

GCD(2, 106) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 838

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

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

GCD(2, 838) = 1676 / 838

GCD(2, 838) = 2

GCD of 532, 850, 106, 838 is 2

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1. What is the GCD of 532, 850, 106, 838?

GCD of 532, 850, 106, 838 is 2

2. Where do I get the detailed procedure to find GCD of 532, 850, 106, 838?

You can find a detailed procedure to find GCD of 532, 850, 106, 838 on our page.

3. How to find GCD of 532, 850, 106, 838 on a calculator?

You can find the GCD of 532, 850, 106, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.