GCD of 386, 838, 164, 758 Calculator

Given Input numbers are 386, 838, 164, 758

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

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 838

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

1, 2, 419, 838

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 386, 838, 164, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 386, 838, 164, 758 is 2.

Therefore, GCD of numbers 386, 838, 164, 758 is 2

Given Input Data is 386, 838, 164, 758

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

Prime Factorization of 386 is 2 x 193

Prime Factorization of 838 is 2 x 419

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 758 is 2 x 379

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(386, 838) = 161734

GCD(386, 838) = ( 386 x 838 ) / 161734

GCD(386, 838) = 323468 / 161734

GCD(386, 838) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 164

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

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

GCD(2, 164) = 328 / 164

GCD(2, 164) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 758

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

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

GCD(2, 758) = 1516 / 758

GCD(2, 758) = 2

GCD of 386, 838, 164, 758 is 2

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1. What is the GCD of 386, 838, 164, 758?

GCD of 386, 838, 164, 758 is 2

2. Where do I get the detailed procedure to find GCD of 386, 838, 164, 758?

You can find a detailed procedure to find GCD of 386, 838, 164, 758 on our page.

3. How to find GCD of 386, 838, 164, 758 on a calculator?

You can find the GCD of 386, 838, 164, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.