GCD of 116, 705, 313, 734 Calculator

Given Input numbers are 116, 705, 313, 734

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 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 116, 705, 313, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 705, 313, 734 is 1.

Therefore, GCD of numbers 116, 705, 313, 734 is 1

Given Input Data is 116, 705, 313, 734

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 705 is 3 x 5 x 47

Prime Factorization of 313 is 313

Prime Factorization of 734 is 2 x 367

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, 705) = 81780

GCD(116, 705) = ( 116 x 705 ) / 81780

GCD(116, 705) = 81780 / 81780

GCD(116, 705) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 116, 705, 313, 734 is 1

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1. What is the GCD of 116, 705, 313, 734?

GCD of 116, 705, 313, 734 is 1

2. Where do I get the detailed procedure to find GCD of 116, 705, 313, 734?

You can find a detailed procedure to find GCD of 116, 705, 313, 734 on our page.

3. How to find GCD of 116, 705, 313, 734 on a calculator?

You can find the GCD of 116, 705, 313, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.