GCD of 701, 308, 83, 113 Calculator

Given Input numbers are 701, 308, 83, 113

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

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 701, 308, 83, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 701, 308, 83, 113 is 1.

Therefore, GCD of numbers 701, 308, 83, 113 is 1

Given Input Data is 701, 308, 83, 113

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

Prime Factorization of 701 is 701

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 83 is 83

Prime Factorization of 113 is 113

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(701, 308) = 215908

GCD(701, 308) = ( 701 x 308 ) / 215908

GCD(701, 308) = 215908 / 215908

GCD(701, 308) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

GCD of 701, 308, 83, 113 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 489, 37, 855
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• GCD of 455, 899, 36, 688

1. What is the GCD of 701, 308, 83, 113?

GCD of 701, 308, 83, 113 is 1

2. Where do I get the detailed procedure to find GCD of 701, 308, 83, 113?

You can find a detailed procedure to find GCD of 701, 308, 83, 113 on our page.

3. How to find GCD of 701, 308, 83, 113 on a calculator?

You can find the GCD of 701, 308, 83, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.