GCD of 177, 742, 959 Calculator

Given Input numbers are 177, 742, 959

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 742

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

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

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 177, 742, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 742, 959 is 1.

Therefore, GCD of numbers 177, 742, 959 is 1

Given Input Data is 177, 742, 959

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

Prime Factorization of 177 is 3 x 59

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 959 is 7 x 137

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, 742) = 131334

GCD(177, 742) = ( 177 x 742 ) / 131334

GCD(177, 742) = 131334 / 131334

GCD(177, 742) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 177, 742, 959 is 1

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1. What is the GCD of 177, 742, 959?

GCD of 177, 742, 959 is 1

2. Where do I get the detailed procedure to find GCD of 177, 742, 959?

You can find a detailed procedure to find GCD of 177, 742, 959 on our page.

3. How to find GCD of 177, 742, 959 on a calculator?

You can find the GCD of 177, 742, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.