Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 643, 873, 698, 970 i.e. 1 largest integer that divides all the numbers equally.
GCD of 643, 873, 698, 970 is 1
GCD(643, 873, 698, 970) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 643, 873, 698, 970 is 1
GCD(643, 873, 698, 970) = 1
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
Here are some samples of GCD of Numbers calculations.
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.