GCD of 547, 355, 466, 892 Calculator

Given Input numbers are 547, 355, 466, 892

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

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

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 547, 355, 466, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 547, 355, 466, 892 is 1.

Therefore, GCD of numbers 547, 355, 466, 892 is 1

Given Input Data is 547, 355, 466, 892

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

Prime Factorization of 547 is 547

Prime Factorization of 355 is 5 x 71

Prime Factorization of 466 is 2 x 233

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(547, 355) = 194185

GCD(547, 355) = ( 547 x 355 ) / 194185

GCD(547, 355) = 194185 / 194185

GCD(547, 355) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 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 547, 355, 466, 892 is 1

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1. What is the GCD of 547, 355, 466, 892?

GCD of 547, 355, 466, 892 is 1

2. Where do I get the detailed procedure to find GCD of 547, 355, 466, 892?

You can find a detailed procedure to find GCD of 547, 355, 466, 892 on our page.

3. How to find GCD of 547, 355, 466, 892 on a calculator?

You can find the GCD of 547, 355, 466, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.