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 698, 681, 19, 640 i.e. 1 largest integer that divides all the numbers equally.
GCD of 698, 681, 19, 640 is 1
GCD(698, 681, 19, 640) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 698, 681, 19, 640 is 1
GCD(698, 681, 19, 640) = 1
Given Input numbers are 698, 681, 19, 640
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Greatest Common Divisior
We found the divisors of 698, 681, 19, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 681, 19, 640 is 1.
Therefore, GCD of numbers 698, 681, 19, 640 is 1
Given Input Data is 698, 681, 19, 640
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 698 is 2 x 349
Prime Factorization of 681 is 3 x 227
Prime Factorization of 19 is 19
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
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(698, 681) = 475338
GCD(698, 681) = ( 698 x 681 ) / 475338
GCD(698, 681) = 475338 / 475338
GCD(698, 681) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 19) = 19
GCD(1, 19) = ( 1 x 19 ) / 19
GCD(1, 19) = 19 / 19
GCD(1, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 640
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 640) = 640
GCD(1, 640) = ( 1 x 640 ) / 640
GCD(1, 640) = 640 / 640
GCD(1, 640) = 1
GCD of 698, 681, 19, 640 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 698, 681, 19, 640?
GCD of 698, 681, 19, 640 is 1
2. Where do I get the detailed procedure to find GCD of 698, 681, 19, 640?
You can find a detailed procedure to find GCD of 698, 681, 19, 640 on our page.
3. How to find GCD of 698, 681, 19, 640 on a calculator?
You can find the GCD of 698, 681, 19, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.