GCD of 742, 589, 310, 114 Calculator

Given Input numbers are 742, 589, 310, 114

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 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 742, 589, 310, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 589, 310, 114 is 1.

Therefore, GCD of numbers 742, 589, 310, 114 is 1

Given Input Data is 742, 589, 310, 114

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 589 is 19 x 31

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 114 is 2 x 3 x 19

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, 589) = 437038

GCD(742, 589) = ( 742 x 589 ) / 437038

GCD(742, 589) = 437038 / 437038

GCD(742, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 742, 589, 310, 114 is 1

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1. What is the GCD of 742, 589, 310, 114?

GCD of 742, 589, 310, 114 is 1

2. Where do I get the detailed procedure to find GCD of 742, 589, 310, 114?

You can find a detailed procedure to find GCD of 742, 589, 310, 114 on our page.

3. How to find GCD of 742, 589, 310, 114 on a calculator?

You can find the GCD of 742, 589, 310, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.