GCD of 590, 938, 984, 210 Calculator

Given Input numbers are 590, 938, 984, 210

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

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Greatest Common Divisior

We found the divisors of 590, 938, 984, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 938, 984, 210 is 2.

Therefore, GCD of numbers 590, 938, 984, 210 is 2

Given Input Data is 590, 938, 984, 210

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

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 210 is 2 x 3 x 5 x 7

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(590, 938) = 276710

GCD(590, 938) = ( 590 x 938 ) / 276710

GCD(590, 938) = 553420 / 276710

GCD(590, 938) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 984

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

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

GCD(2, 984) = 1968 / 984

GCD(2, 984) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 210

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

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

GCD(2, 210) = 420 / 210

GCD(2, 210) = 2

GCD of 590, 938, 984, 210 is 2

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1. What is the GCD of 590, 938, 984, 210?

GCD of 590, 938, 984, 210 is 2

2. Where do I get the detailed procedure to find GCD of 590, 938, 984, 210?

You can find a detailed procedure to find GCD of 590, 938, 984, 210 on our page.

3. How to find GCD of 590, 938, 984, 210 on a calculator?

You can find the GCD of 590, 938, 984, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.