GCD of 839, 827, 854, 748 Calculator

Given Input numbers are 839, 827, 854, 748

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

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 839, 827, 854, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 839, 827, 854, 748 is 1.

Therefore, GCD of numbers 839, 827, 854, 748 is 1

Given Input Data is 839, 827, 854, 748

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

Prime Factorization of 839 is 839

Prime Factorization of 827 is 827

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(839, 827) = 693853

GCD(839, 827) = ( 839 x 827 ) / 693853

GCD(839, 827) = 693853 / 693853

GCD(839, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 839, 827, 854, 748 is 1

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1. What is the GCD of 839, 827, 854, 748?

GCD of 839, 827, 854, 748 is 1

2. Where do I get the detailed procedure to find GCD of 839, 827, 854, 748?

You can find a detailed procedure to find GCD of 839, 827, 854, 748 on our page.

3. How to find GCD of 839, 827, 854, 748 on a calculator?

You can find the GCD of 839, 827, 854, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.