GCD of 824, 740, 865, 893 Calculator

Given Input numbers are 824, 740, 865, 893

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 893

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

1, 19, 47, 893

Greatest Common Divisior

We found the divisors of 824, 740, 865, 893 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 740, 865, 893 is 1.

Therefore, GCD of numbers 824, 740, 865, 893 is 1

Given Input Data is 824, 740, 865, 893

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 865 is 5 x 173

Prime Factorization of 893 is 19 x 47

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(824, 740) = 152440

GCD(824, 740) = ( 824 x 740 ) / 152440

GCD(824, 740) = 609760 / 152440

GCD(824, 740) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 865

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

LCM(4, 865) = 3460

GCD(4, 865) = ( 4 x 865 ) / 3460

GCD(4, 865) = 3460 / 3460

GCD(4, 865) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 893

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

LCM(1, 893) = 893

GCD(1, 893) = ( 1 x 893 ) / 893

GCD(1, 893) = 893 / 893

GCD(1, 893) = 1

GCD of 824, 740, 865, 893 is 1

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1. What is the GCD of 824, 740, 865, 893?

GCD of 824, 740, 865, 893 is 1

2. Where do I get the detailed procedure to find GCD of 824, 740, 865, 893?

You can find a detailed procedure to find GCD of 824, 740, 865, 893 on our page.

3. How to find GCD of 824, 740, 865, 893 on a calculator?

You can find the GCD of 824, 740, 865, 893 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.