GCD of 172, 986, 24, 761 Calculator

Given Input numbers are 172, 986, 24, 761

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

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 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Greatest Common Divisior

We found the divisors of 172, 986, 24, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 986, 24, 761 is 1.

Therefore, GCD of numbers 172, 986, 24, 761 is 1

Given Input Data is 172, 986, 24, 761

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 761 is 761

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(172, 986) = 84796

GCD(172, 986) = ( 172 x 986 ) / 84796

GCD(172, 986) = 169592 / 84796

GCD(172, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 761

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

LCM(2, 761) = 1522

GCD(2, 761) = ( 2 x 761 ) / 1522

GCD(2, 761) = 1522 / 1522

GCD(2, 761) = 1

GCD of 172, 986, 24, 761 is 1

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1. What is the GCD of 172, 986, 24, 761?

GCD of 172, 986, 24, 761 is 1

2. Where do I get the detailed procedure to find GCD of 172, 986, 24, 761?

You can find a detailed procedure to find GCD of 172, 986, 24, 761 on our page.

3. How to find GCD of 172, 986, 24, 761 on a calculator?

You can find the GCD of 172, 986, 24, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.