GCD of 643, 873, 698, 970 Calculator

Given Input numbers are 643, 873, 698, 970

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

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 643, 873, 698, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 873, 698, 970 is 1.

Therefore, GCD of numbers 643, 873, 698, 970 is 1

Given Input Data is 643, 873, 698, 970

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

Prime Factorization of 643 is 643

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 698 is 2 x 349

Prime Factorization of 970 is 2 x 5 x 97

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(643, 873) = 561339

GCD(643, 873) = ( 643 x 873 ) / 561339

GCD(643, 873) = 561339 / 561339

GCD(643, 873) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

GCD of 643, 873, 698, 970 is 1

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1. What is the GCD of 643, 873, 698, 970?

GCD of 643, 873, 698, 970 is 1

2. Where do I get the detailed procedure to find GCD of 643, 873, 698, 970?

You can find a detailed procedure to find GCD of 643, 873, 698, 970 on our page.

3. How to find GCD of 643, 873, 698, 970 on a calculator?

You can find the GCD of 643, 873, 698, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.