GCD of 742, 283, 594, 871 Calculator

Given Input numbers are 742, 283, 594, 871

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

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 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 742, 283, 594, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 283, 594, 871 is 1.

Therefore, GCD of numbers 742, 283, 594, 871 is 1

Given Input Data is 742, 283, 594, 871

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 283 is 283

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 871 is 13 x 67

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(742, 283) = 209986

GCD(742, 283) = ( 742 x 283 ) / 209986

GCD(742, 283) = 209986 / 209986

GCD(742, 283) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 594

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

LCM(1, 594) = 594

GCD(1, 594) = ( 1 x 594 ) / 594

GCD(1, 594) = 594 / 594

GCD(1, 594) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 871

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

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

GCD(1, 871) = 871 / 871

GCD(1, 871) = 1

GCD of 742, 283, 594, 871 is 1

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1. What is the GCD of 742, 283, 594, 871?

GCD of 742, 283, 594, 871 is 1

2. Where do I get the detailed procedure to find GCD of 742, 283, 594, 871?

You can find a detailed procedure to find GCD of 742, 283, 594, 871 on our page.

3. How to find GCD of 742, 283, 594, 871 on a calculator?

You can find the GCD of 742, 283, 594, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.