GCD of 893, 427, 678, 825 Calculator

Given Input numbers are 893, 427, 678, 825

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

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 893, 427, 678, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 893, 427, 678, 825 is 1.

Therefore, GCD of numbers 893, 427, 678, 825 is 1

Given Input Data is 893, 427, 678, 825

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

Prime Factorization of 893 is 19 x 47

Prime Factorization of 427 is 7 x 61

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(893, 427) = 381311

GCD(893, 427) = ( 893 x 427 ) / 381311

GCD(893, 427) = 381311 / 381311

GCD(893, 427) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 893, 427, 678, 825 is 1

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1. What is the GCD of 893, 427, 678, 825?

GCD of 893, 427, 678, 825 is 1

2. Where do I get the detailed procedure to find GCD of 893, 427, 678, 825?

You can find a detailed procedure to find GCD of 893, 427, 678, 825 on our page.

3. How to find GCD of 893, 427, 678, 825 on a calculator?

You can find the GCD of 893, 427, 678, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.