GCD of 177, 874, 31, 947 Calculator

Given Input numbers are 177, 874, 31, 947

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 874

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

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Greatest Common Divisior

We found the divisors of 177, 874, 31, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 874, 31, 947 is 1.

Therefore, GCD of numbers 177, 874, 31, 947 is 1

Given Input Data is 177, 874, 31, 947

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

Prime Factorization of 177 is 3 x 59

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 31 is 31

Prime Factorization of 947 is 947

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, 874) = 154698

GCD(177, 874) = ( 177 x 874 ) / 154698

GCD(177, 874) = 154698 / 154698

GCD(177, 874) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 947

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

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

GCD(1, 947) = 947 / 947

GCD(1, 947) = 1

GCD of 177, 874, 31, 947 is 1

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1. What is the GCD of 177, 874, 31, 947?

GCD of 177, 874, 31, 947 is 1

2. Where do I get the detailed procedure to find GCD of 177, 874, 31, 947?

You can find a detailed procedure to find GCD of 177, 874, 31, 947 on our page.

3. How to find GCD of 177, 874, 31, 947 on a calculator?

You can find the GCD of 177, 874, 31, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.