GCD of 700, 598, 83, 943 Calculator

Given Input numbers are 700, 598, 83, 943

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

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 83

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

1, 83

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Greatest Common Divisior

We found the divisors of 700, 598, 83, 943 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 598, 83, 943 is 1.

Therefore, GCD of numbers 700, 598, 83, 943 is 1

Given Input Data is 700, 598, 83, 943

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

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 83 is 83

Prime Factorization of 943 is 23 x 41

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(700, 598) = 209300

GCD(700, 598) = ( 700 x 598 ) / 209300

GCD(700, 598) = 418600 / 209300

GCD(700, 598) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 943

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

LCM(1, 943) = 943

GCD(1, 943) = ( 1 x 943 ) / 943

GCD(1, 943) = 943 / 943

GCD(1, 943) = 1

GCD of 700, 598, 83, 943 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 303, 559, 28, 952
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• GCD of 991, 662, 26, 352

1. What is the GCD of 700, 598, 83, 943?

GCD of 700, 598, 83, 943 is 1

2. Where do I get the detailed procedure to find GCD of 700, 598, 83, 943?

You can find a detailed procedure to find GCD of 700, 598, 83, 943 on our page.

3. How to find GCD of 700, 598, 83, 943 on a calculator?

You can find the GCD of 700, 598, 83, 943 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.