GCD of 587, 352, 997, 892 Calculator

Given Input numbers are 587, 352, 997, 892

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

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 892

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

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 587, 352, 997, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 587, 352, 997, 892 is 1.

Therefore, GCD of numbers 587, 352, 997, 892 is 1

Given Input Data is 587, 352, 997, 892

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

Prime Factorization of 587 is 587

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 997 is 997

Prime Factorization of 892 is 2 x 2 x 223

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(587, 352) = 206624

GCD(587, 352) = ( 587 x 352 ) / 206624

GCD(587, 352) = 206624 / 206624

GCD(587, 352) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

GCD of 587, 352, 997, 892 is 1

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1. What is the GCD of 587, 352, 997, 892?

GCD of 587, 352, 997, 892 is 1

2. Where do I get the detailed procedure to find GCD of 587, 352, 997, 892?

You can find a detailed procedure to find GCD of 587, 352, 997, 892 on our page.

3. How to find GCD of 587, 352, 997, 892 on a calculator?

You can find the GCD of 587, 352, 997, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.