GCD of 974, 838, 608 Calculator

Given Input numbers are 974, 838, 608

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 838

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

1, 2, 419, 838

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 974, 838, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 838, 608 is 2.

Therefore, GCD of numbers 974, 838, 608 is 2

Given Input Data is 974, 838, 608

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 838 is 2 x 419

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

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(974, 838) = 408106

GCD(974, 838) = ( 974 x 838 ) / 408106

GCD(974, 838) = 816212 / 408106

GCD(974, 838) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 608

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

LCM(2, 608) = 608

GCD(2, 608) = ( 2 x 608 ) / 608

GCD(2, 608) = 1216 / 608

GCD(2, 608) = 2

GCD of 974, 838, 608 is 2

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1. What is the GCD of 974, 838, 608?

GCD of 974, 838, 608 is 2

2. Where do I get the detailed procedure to find GCD of 974, 838, 608?

You can find a detailed procedure to find GCD of 974, 838, 608 on our page.

3. How to find GCD of 974, 838, 608 on a calculator?

You can find the GCD of 974, 838, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.