GCD of 266, 838, 50, 624 Calculator

Given Input numbers are 266, 838, 50, 624

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

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 838

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

1, 2, 419, 838

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Greatest Common Divisior

We found the divisors of 266, 838, 50, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 266, 838, 50, 624 is 2.

Therefore, GCD of numbers 266, 838, 50, 624 is 2

Given Input Data is 266, 838, 50, 624

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

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 838 is 2 x 419

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

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(266, 838) = 111454

GCD(266, 838) = ( 266 x 838 ) / 111454

GCD(266, 838) = 222908 / 111454

GCD(266, 838) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 624

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

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

GCD(2, 624) = 1248 / 624

GCD(2, 624) = 2

GCD of 266, 838, 50, 624 is 2

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1. What is the GCD of 266, 838, 50, 624?

GCD of 266, 838, 50, 624 is 2

2. Where do I get the detailed procedure to find GCD of 266, 838, 50, 624?

You can find a detailed procedure to find GCD of 266, 838, 50, 624 on our page.

3. How to find GCD of 266, 838, 50, 624 on a calculator?

You can find the GCD of 266, 838, 50, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.