GCD of 893, 684, 58, 742 Calculator

Given Input numbers are 893, 684, 58, 742

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 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 893, 684, 58, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 893, 684, 58, 742 is 1.

Therefore, GCD of numbers 893, 684, 58, 742 is 1

Given Input Data is 893, 684, 58, 742

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

Prime Factorization of 893 is 19 x 47

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 58 is 2 x 29

Prime Factorization of 742 is 2 x 7 x 53

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, 684) = 32148

GCD(893, 684) = ( 893 x 684 ) / 32148

GCD(893, 684) = 610812 / 32148

GCD(893, 684) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 58

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

LCM(19, 58) = 1102

GCD(19, 58) = ( 19 x 58 ) / 1102

GCD(19, 58) = 1102 / 1102

GCD(19, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 893, 684, 58, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 482, 560, 53, 751
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• GCD of 810, 684, 72, 402

1. What is the GCD of 893, 684, 58, 742?

GCD of 893, 684, 58, 742 is 1

2. Where do I get the detailed procedure to find GCD of 893, 684, 58, 742?

You can find a detailed procedure to find GCD of 893, 684, 58, 742 on our page.

3. How to find GCD of 893, 684, 58, 742 on a calculator?

You can find the GCD of 893, 684, 58, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.