GCD of 171, 688, 74, 332 Calculator

Given Input numbers are 171, 688, 74, 332

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 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Greatest Common Divisior

We found the divisors of 171, 688, 74, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 688, 74, 332 is 1.

Therefore, GCD of numbers 171, 688, 74, 332 is 1

Given Input Data is 171, 688, 74, 332

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 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 74 is 2 x 37

Prime Factorization of 332 is 2 x 2 x 83

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, 688) = 117648

GCD(171, 688) = ( 171 x 688 ) / 117648

GCD(171, 688) = 117648 / 117648

GCD(171, 688) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 332

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

LCM(1, 332) = 332

GCD(1, 332) = ( 1 x 332 ) / 332

GCD(1, 332) = 332 / 332

GCD(1, 332) = 1

GCD of 171, 688, 74, 332 is 1

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1. What is the GCD of 171, 688, 74, 332?

GCD of 171, 688, 74, 332 is 1

2. Where do I get the detailed procedure to find GCD of 171, 688, 74, 332?

You can find a detailed procedure to find GCD of 171, 688, 74, 332 on our page.

3. How to find GCD of 171, 688, 74, 332 on a calculator?

You can find the GCD of 171, 688, 74, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.