GCD of 116, 311, 674, 703 Calculator

Given Input numbers are 116, 311, 674, 703

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Greatest Common Divisior

We found the divisors of 116, 311, 674, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 311, 674, 703 is 1.

Therefore, GCD of numbers 116, 311, 674, 703 is 1

Given Input Data is 116, 311, 674, 703

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 311 is 311

Prime Factorization of 674 is 2 x 337

Prime Factorization of 703 is 19 x 37

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(116, 311) = 36076

GCD(116, 311) = ( 116 x 311 ) / 36076

GCD(116, 311) = 36076 / 36076

GCD(116, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 1

GCD of 116, 311, 674, 703 is 1

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1. What is the GCD of 116, 311, 674, 703?

GCD of 116, 311, 674, 703 is 1

2. Where do I get the detailed procedure to find GCD of 116, 311, 674, 703?

You can find a detailed procedure to find GCD of 116, 311, 674, 703 on our page.

3. How to find GCD of 116, 311, 674, 703 on a calculator?

You can find the GCD of 116, 311, 674, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.