GCD of 167, 838, 65, 312 Calculator

Given Input numbers are 167, 838, 65, 312

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

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Divisors of 838

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

1, 2, 419, 838

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 167, 838, 65, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 167, 838, 65, 312 is 1.

Therefore, GCD of numbers 167, 838, 65, 312 is 1

Given Input Data is 167, 838, 65, 312

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

Prime Factorization of 167 is 167

Prime Factorization of 838 is 2 x 419

Prime Factorization of 65 is 5 x 13

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(167, 838) = 139946

GCD(167, 838) = ( 167 x 838 ) / 139946

GCD(167, 838) = 139946 / 139946

GCD(167, 838) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 167, 838, 65, 312 is 1

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1. What is the GCD of 167, 838, 65, 312?

GCD of 167, 838, 65, 312 is 1

2. Where do I get the detailed procedure to find GCD of 167, 838, 65, 312?

You can find a detailed procedure to find GCD of 167, 838, 65, 312 on our page.

3. How to find GCD of 167, 838, 65, 312 on a calculator?

You can find the GCD of 167, 838, 65, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.