GCD of 50, 698, 844, 146 Calculator

Given Input numbers are 50, 698, 844, 146

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

Divisors of 50

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

1, 2, 5, 10, 25, 50

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 50, 698, 844, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 698, 844, 146 is 2.

Therefore, GCD of numbers 50, 698, 844, 146 is 2

Given Input Data is 50, 698, 844, 146

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 698 is 2 x 349

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 146 is 2 x 73

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(50, 698) = 17450

GCD(50, 698) = ( 50 x 698 ) / 17450

GCD(50, 698) = 34900 / 17450

GCD(50, 698) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 844

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

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

GCD(2, 844) = 1688 / 844

GCD(2, 844) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 146

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

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

GCD(2, 146) = 292 / 146

GCD(2, 146) = 2

GCD of 50, 698, 844, 146 is 2

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1. What is the GCD of 50, 698, 844, 146?

GCD of 50, 698, 844, 146 is 2

2. Where do I get the detailed procedure to find GCD of 50, 698, 844, 146?

You can find a detailed procedure to find GCD of 50, 698, 844, 146 on our page.

3. How to find GCD of 50, 698, 844, 146 on a calculator?

You can find the GCD of 50, 698, 844, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.