GCD of 892, 674, 72, 581 Calculator

Given Input numbers are 892, 674, 72, 581

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Greatest Common Divisior

We found the divisors of 892, 674, 72, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 674, 72, 581 is 1.

Therefore, GCD of numbers 892, 674, 72, 581 is 1

Given Input Data is 892, 674, 72, 581

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 674 is 2 x 337

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 581 is 7 x 83

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(892, 674) = 300604

GCD(892, 674) = ( 892 x 674 ) / 300604

GCD(892, 674) = 601208 / 300604

GCD(892, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 581

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

LCM(2, 581) = 1162

GCD(2, 581) = ( 2 x 581 ) / 1162

GCD(2, 581) = 1162 / 1162

GCD(2, 581) = 1

GCD of 892, 674, 72, 581 is 1

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1. What is the GCD of 892, 674, 72, 581?

GCD of 892, 674, 72, 581 is 1

2. Where do I get the detailed procedure to find GCD of 892, 674, 72, 581?

You can find a detailed procedure to find GCD of 892, 674, 72, 581 on our page.

3. How to find GCD of 892, 674, 72, 581 on a calculator?

You can find the GCD of 892, 674, 72, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.