GCD of 838, 458, 918, 961 Calculator

Given Input numbers are 838, 458, 918, 961

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 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 838, 458, 918, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 458, 918, 961 is 1.

Therefore, GCD of numbers 838, 458, 918, 961 is 1

Given Input Data is 838, 458, 918, 961

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 458 is 2 x 229

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 961 is 31 x 31

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, 458) = 191902

GCD(838, 458) = ( 838 x 458 ) / 191902

GCD(838, 458) = 383804 / 191902

GCD(838, 458) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 918

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

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

GCD(2, 918) = 1836 / 918

GCD(2, 918) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 961

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

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

GCD(2, 961) = 1922 / 1922

GCD(2, 961) = 1

GCD of 838, 458, 918, 961 is 1

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1. What is the GCD of 838, 458, 918, 961?

GCD of 838, 458, 918, 961 is 1

2. Where do I get the detailed procedure to find GCD of 838, 458, 918, 961?

You can find a detailed procedure to find GCD of 838, 458, 918, 961 on our page.

3. How to find GCD of 838, 458, 918, 961 on a calculator?

You can find the GCD of 838, 458, 918, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.