GCD of 171, 992, 241, 762 Calculator

Given Input numbers are 171, 992, 241, 762

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

Divisors of 171

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

1, 3, 9, 19, 57, 171

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 171, 992, 241, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 992, 241, 762 is 1.

Therefore, GCD of numbers 171, 992, 241, 762 is 1

Given Input Data is 171, 992, 241, 762

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 241 is 241

Prime Factorization of 762 is 2 x 3 x 127

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(171, 992) = 169632

GCD(171, 992) = ( 171 x 992 ) / 169632

GCD(171, 992) = 169632 / 169632

GCD(171, 992) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 241

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

LCM(1, 241) = 241

GCD(1, 241) = ( 1 x 241 ) / 241

GCD(1, 241) = 241 / 241

GCD(1, 241) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1

GCD of 171, 992, 241, 762 is 1

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• GCD of 500, 925, 665, 248
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• GCD of 862, 873, 174, 966

1. What is the GCD of 171, 992, 241, 762?

GCD of 171, 992, 241, 762 is 1

2. Where do I get the detailed procedure to find GCD of 171, 992, 241, 762?

You can find a detailed procedure to find GCD of 171, 992, 241, 762 on our page.

3. How to find GCD of 171, 992, 241, 762 on a calculator?

You can find the GCD of 171, 992, 241, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.