GCD of 177, 159, 742, 874 Calculator

Given Input numbers are 177, 159, 742, 874

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

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 177, 159, 742, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 159, 742, 874 is 1.

Therefore, GCD of numbers 177, 159, 742, 874 is 1

Given Input Data is 177, 159, 742, 874

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

Prime Factorization of 177 is 3 x 59

Prime Factorization of 159 is 3 x 53

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 874 is 2 x 19 x 23

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(177, 159) = 9381

GCD(177, 159) = ( 177 x 159 ) / 9381

GCD(177, 159) = 28143 / 9381

GCD(177, 159) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 742

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

LCM(3, 742) = 2226

GCD(3, 742) = ( 3 x 742 ) / 2226

GCD(3, 742) = 2226 / 2226

GCD(3, 742) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

GCD of 177, 159, 742, 874 is 1

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1. What is the GCD of 177, 159, 742, 874?

GCD of 177, 159, 742, 874 is 1

2. Where do I get the detailed procedure to find GCD of 177, 159, 742, 874?

You can find a detailed procedure to find GCD of 177, 159, 742, 874 on our page.

3. How to find GCD of 177, 159, 742, 874 on a calculator?

You can find the GCD of 177, 159, 742, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.