GCD of 268, 107, 161, 838 Calculator

Given Input numbers are 268, 107, 161, 838

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 838

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

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 268, 107, 161, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 107, 161, 838 is 1.

Therefore, GCD of numbers 268, 107, 161, 838 is 1

Given Input Data is 268, 107, 161, 838

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 107 is 107

Prime Factorization of 161 is 7 x 23

Prime Factorization of 838 is 2 x 419

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(268, 107) = 28676

GCD(268, 107) = ( 268 x 107 ) / 28676

GCD(268, 107) = 28676 / 28676

GCD(268, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 161

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

LCM(1, 161) = 161

GCD(1, 161) = ( 1 x 161 ) / 161

GCD(1, 161) = 161 / 161

GCD(1, 161) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

GCD of 268, 107, 161, 838 is 1

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1. What is the GCD of 268, 107, 161, 838?

GCD of 268, 107, 161, 838 is 1

2. Where do I get the detailed procedure to find GCD of 268, 107, 161, 838?

You can find a detailed procedure to find GCD of 268, 107, 161, 838 on our page.

3. How to find GCD of 268, 107, 161, 838 on a calculator?

You can find the GCD of 268, 107, 161, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.