GCD of 801, 171, 69, 553 Calculator

Given Input numbers are 801, 171, 69, 553

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

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 801, 171, 69, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 801, 171, 69, 553 is 1.

Therefore, GCD of numbers 801, 171, 69, 553 is 1

Given Input Data is 801, 171, 69, 553

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

Prime Factorization of 801 is 3 x 3 x 89

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 69 is 3 x 23

Prime Factorization of 553 is 7 x 79

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(801, 171) = 15219

GCD(801, 171) = ( 801 x 171 ) / 15219

GCD(801, 171) = 136971 / 15219

GCD(801, 171) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 69

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

LCM(9, 69) = 207

GCD(9, 69) = ( 9 x 69 ) / 207

GCD(9, 69) = 621 / 207

GCD(9, 69) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 553

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

LCM(3, 553) = 1659

GCD(3, 553) = ( 3 x 553 ) / 1659

GCD(3, 553) = 1659 / 1659

GCD(3, 553) = 1

GCD of 801, 171, 69, 553 is 1

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• GCD of 991, 771, 55, 913
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1. What is the GCD of 801, 171, 69, 553?

GCD of 801, 171, 69, 553 is 1

2. Where do I get the detailed procedure to find GCD of 801, 171, 69, 553?

You can find a detailed procedure to find GCD of 801, 171, 69, 553 on our page.

3. How to find GCD of 801, 171, 69, 553 on a calculator?

You can find the GCD of 801, 171, 69, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.