GCD of 853, 171, 469, 149 Calculator

Given Input numbers are 853, 171, 469, 149

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

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 171

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

1, 3, 9, 19, 57, 171

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 853, 171, 469, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 171, 469, 149 is 1.

Therefore, GCD of numbers 853, 171, 469, 149 is 1

Given Input Data is 853, 171, 469, 149

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

Prime Factorization of 853 is 853

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 469 is 7 x 67

Prime Factorization of 149 is 149

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(853, 171) = 145863

GCD(853, 171) = ( 853 x 171 ) / 145863

GCD(853, 171) = 145863 / 145863

GCD(853, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 853, 171, 469, 149 is 1

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1. What is the GCD of 853, 171, 469, 149?

GCD of 853, 171, 469, 149 is 1

2. Where do I get the detailed procedure to find GCD of 853, 171, 469, 149?

You can find a detailed procedure to find GCD of 853, 171, 469, 149 on our page.

3. How to find GCD of 853, 171, 469, 149 on a calculator?

You can find the GCD of 853, 171, 469, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.