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, 796, 15, 498 i.e. 1 largest integer that divides all the numbers equally.
GCD of 698, 796, 15, 498 is 1
GCD(698, 796, 15, 498) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 698, 796, 15, 498 is 1
GCD(698, 796, 15, 498) = 1
Given Input numbers are 698, 796, 15, 498
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 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Greatest Common Divisior
We found the divisors of 698, 796, 15, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 796, 15, 498 is 1.
Therefore, GCD of numbers 698, 796, 15, 498 is 1
Given Input Data is 698, 796, 15, 498
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 698 is 2 x 349
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 15 is 3 x 5
Prime Factorization of 498 is 2 x 3 x 83
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, 796) = 277804
GCD(698, 796) = ( 698 x 796 ) / 277804
GCD(698, 796) = 555608 / 277804
GCD(698, 796) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 15) = 30
GCD(2, 15) = ( 2 x 15 ) / 30
GCD(2, 15) = 30 / 30
GCD(2, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 498
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 498) = 498
GCD(1, 498) = ( 1 x 498 ) / 498
GCD(1, 498) = 498 / 498
GCD(1, 498) = 1
GCD of 698, 796, 15, 498 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 698, 796, 15, 498?
GCD of 698, 796, 15, 498 is 1
2. Where do I get the detailed procedure to find GCD of 698, 796, 15, 498?
You can find a detailed procedure to find GCD of 698, 796, 15, 498 on our page.
3. How to find GCD of 698, 796, 15, 498 on a calculator?
You can find the GCD of 698, 796, 15, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.