GCD of 103, 887, 71, 742 Calculator

Given Input numbers are 103, 887, 71, 742

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

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 887

List of positive integer divisors of 887 that divides 887 without a remainder.

1, 887

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 742

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

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

Greatest Common Divisior

We found the divisors of 103, 887, 71, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 887, 71, 742 is 1.

Therefore, GCD of numbers 103, 887, 71, 742 is 1

Given Input Data is 103, 887, 71, 742

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

Prime Factorization of 103 is 103

Prime Factorization of 887 is 887

Prime Factorization of 71 is 71

Prime Factorization of 742 is 2 x 7 x 53

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(103, 887) = 91361

GCD(103, 887) = ( 103 x 887 ) / 91361

GCD(103, 887) = 91361 / 91361

GCD(103, 887) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 103, 887, 71, 742 is 1

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1. What is the GCD of 103, 887, 71, 742?

GCD of 103, 887, 71, 742 is 1

2. Where do I get the detailed procedure to find GCD of 103, 887, 71, 742?

You can find a detailed procedure to find GCD of 103, 887, 71, 742 on our page.

3. How to find GCD of 103, 887, 71, 742 on a calculator?

You can find the GCD of 103, 887, 71, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.