GCD of 253, 451, 986, 169 Calculator

Given Input numbers are 253, 451, 986, 169

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

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 253, 451, 986, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 451, 986, 169 is 1.

Therefore, GCD of numbers 253, 451, 986, 169 is 1

Given Input Data is 253, 451, 986, 169

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

Prime Factorization of 253 is 11 x 23

Prime Factorization of 451 is 11 x 41

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 169 is 13 x 13

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(253, 451) = 10373

GCD(253, 451) = ( 253 x 451 ) / 10373

GCD(253, 451) = 114103 / 10373

GCD(253, 451) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 986

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

LCM(11, 986) = 10846

GCD(11, 986) = ( 11 x 986 ) / 10846

GCD(11, 986) = 10846 / 10846

GCD(11, 986) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 253, 451, 986, 169 is 1

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1. What is the GCD of 253, 451, 986, 169?

GCD of 253, 451, 986, 169 is 1

2. Where do I get the detailed procedure to find GCD of 253, 451, 986, 169?

You can find a detailed procedure to find GCD of 253, 451, 986, 169 on our page.

3. How to find GCD of 253, 451, 986, 169 on a calculator?

You can find the GCD of 253, 451, 986, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.