GCD of 893, 564, 692 Calculator

Given Input numbers are 893, 564, 692

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 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 893, 564, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 893, 564, 692 is 1.

Therefore, GCD of numbers 893, 564, 692 is 1

Given Input Data is 893, 564, 692

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

Prime Factorization of 893 is 19 x 47

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 692 is 2 x 2 x 173

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, 564) = 10716

GCD(893, 564) = ( 893 x 564 ) / 10716

GCD(893, 564) = 503652 / 10716

GCD(893, 564) = 47

Step2:

Here we consider the GCD from the above i.e. 47 as first number and the next as 692

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

LCM(47, 692) = 32524

GCD(47, 692) = ( 47 x 692 ) / 32524

GCD(47, 692) = 32524 / 32524

GCD(47, 692) = 1

GCD of 893, 564, 692 is 1

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1. What is the GCD of 893, 564, 692?

GCD of 893, 564, 692 is 1

2. Where do I get the detailed procedure to find GCD of 893, 564, 692?

You can find a detailed procedure to find GCD of 893, 564, 692 on our page.

3. How to find GCD of 893, 564, 692 on a calculator?

You can find the GCD of 893, 564, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.