GCD of 683, 346, 70, 301 Calculator

Given Input numbers are 683, 346, 70, 301

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

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 683, 346, 70, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 683, 346, 70, 301 is 1.

Therefore, GCD of numbers 683, 346, 70, 301 is 1

Given Input Data is 683, 346, 70, 301

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

Prime Factorization of 683 is 683

Prime Factorization of 346 is 2 x 173

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 301 is 7 x 43

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(683, 346) = 236318

GCD(683, 346) = ( 683 x 346 ) / 236318

GCD(683, 346) = 236318 / 236318

GCD(683, 346) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

GCD of 683, 346, 70, 301 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 498, 66, 452
• GCD of 871, 429, 88, 318
• GCD of 713, 467, 41, 731
• GCD of 318, 764, 29, 982
• GCD of 318, 483, 12, 996

1. What is the GCD of 683, 346, 70, 301?

GCD of 683, 346, 70, 301 is 1

2. Where do I get the detailed procedure to find GCD of 683, 346, 70, 301?

You can find a detailed procedure to find GCD of 683, 346, 70, 301 on our page.

3. How to find GCD of 683, 346, 70, 301 on a calculator?

You can find the GCD of 683, 346, 70, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.