GCD of 838, 415, 74, 588 Calculator

Given Input numbers are 838, 415, 74, 588

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

Divisors of 838

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

1, 2, 419, 838

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 838, 415, 74, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 415, 74, 588 is 1.

Therefore, GCD of numbers 838, 415, 74, 588 is 1

Given Input Data is 838, 415, 74, 588

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 415 is 5 x 83

Prime Factorization of 74 is 2 x 37

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

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(838, 415) = 347770

GCD(838, 415) = ( 838 x 415 ) / 347770

GCD(838, 415) = 347770 / 347770

GCD(838, 415) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

GCD of 838, 415, 74, 588 is 1

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• GCD of 764, 408, 96, 300
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1. What is the GCD of 838, 415, 74, 588?

GCD of 838, 415, 74, 588 is 1

2. Where do I get the detailed procedure to find GCD of 838, 415, 74, 588?

You can find a detailed procedure to find GCD of 838, 415, 74, 588 on our page.

3. How to find GCD of 838, 415, 74, 588 on a calculator?

You can find the GCD of 838, 415, 74, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.