GCD of 378, 825, 893, 880 Calculator

Given Input numbers are 378, 825, 893, 880

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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

Divisors of 893

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

1, 19, 47, 893

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Greatest Common Divisior

We found the divisors of 378, 825, 893, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 825, 893, 880 is 1.

Therefore, GCD of numbers 378, 825, 893, 880 is 1

Given Input Data is 378, 825, 893, 880

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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

Prime Factorization of 893 is 19 x 47

Prime Factorization of 880 is 2 x 2 x 2 x 2 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(378, 825) = 103950

GCD(378, 825) = ( 378 x 825 ) / 103950

GCD(378, 825) = 311850 / 103950

GCD(378, 825) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 893

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

LCM(3, 893) = 2679

GCD(3, 893) = ( 3 x 893 ) / 2679

GCD(3, 893) = 2679 / 2679

GCD(3, 893) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 880

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

LCM(1, 880) = 880

GCD(1, 880) = ( 1 x 880 ) / 880

GCD(1, 880) = 880 / 880

GCD(1, 880) = 1

GCD of 378, 825, 893, 880 is 1

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1. What is the GCD of 378, 825, 893, 880?

GCD of 378, 825, 893, 880 is 1

2. Where do I get the detailed procedure to find GCD of 378, 825, 893, 880?

You can find a detailed procedure to find GCD of 378, 825, 893, 880 on our page.

3. How to find GCD of 378, 825, 893, 880 on a calculator?

You can find the GCD of 378, 825, 893, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.