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, 426, 386, 623 i.e. 1 largest integer that divides all the numbers equally.
GCD of 698, 426, 386, 623 is 1
GCD(698, 426, 386, 623) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 698, 426, 386, 623 is 1
GCD(698, 426, 386, 623) = 1
Given Input numbers are 698, 426, 386, 623
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 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Divisors of 623
List of positive integer divisors of 623 that divides 623 without a remainder.
1, 7, 89, 623
Greatest Common Divisior
We found the divisors of 698, 426, 386, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 426, 386, 623 is 1.
Therefore, GCD of numbers 698, 426, 386, 623 is 1
Given Input Data is 698, 426, 386, 623
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 698 is 2 x 349
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 386 is 2 x 193
Prime Factorization of 623 is 7 x 89
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, 426) = 148674
GCD(698, 426) = ( 698 x 426 ) / 148674
GCD(698, 426) = 297348 / 148674
GCD(698, 426) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 386
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 386) = 386
GCD(2, 386) = ( 2 x 386 ) / 386
GCD(2, 386) = 772 / 386
GCD(2, 386) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 623
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 623) = 1246
GCD(2, 623) = ( 2 x 623 ) / 1246
GCD(2, 623) = 1246 / 1246
GCD(2, 623) = 1
GCD of 698, 426, 386, 623 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 698, 426, 386, 623?
GCD of 698, 426, 386, 623 is 1
2. Where do I get the detailed procedure to find GCD of 698, 426, 386, 623?
You can find a detailed procedure to find GCD of 698, 426, 386, 623 on our page.
3. How to find GCD of 698, 426, 386, 623 on a calculator?
You can find the GCD of 698, 426, 386, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.