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 35, 698, 118, 797 i.e. 1 largest integer that divides all the numbers equally.
GCD of 35, 698, 118, 797 is 1
GCD(35, 698, 118, 797) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 35, 698, 118, 797 is 1
GCD(35, 698, 118, 797) = 1
Given Input numbers are 35, 698, 118, 797
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Greatest Common Divisior
We found the divisors of 35, 698, 118, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 698, 118, 797 is 1.
Therefore, GCD of numbers 35, 698, 118, 797 is 1
Given Input Data is 35, 698, 118, 797
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 35 is 5 x 7
Prime Factorization of 698 is 2 x 349
Prime Factorization of 118 is 2 x 59
Prime Factorization of 797 is 797
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(35, 698) = 24430
GCD(35, 698) = ( 35 x 698 ) / 24430
GCD(35, 698) = 24430 / 24430
GCD(35, 698) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 118
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 118) = 118
GCD(1, 118) = ( 1 x 118 ) / 118
GCD(1, 118) = 118 / 118
GCD(1, 118) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 797
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 797) = 797
GCD(1, 797) = ( 1 x 797 ) / 797
GCD(1, 797) = 797 / 797
GCD(1, 797) = 1
GCD of 35, 698, 118, 797 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 35, 698, 118, 797?
GCD of 35, 698, 118, 797 is 1
2. Where do I get the detailed procedure to find GCD of 35, 698, 118, 797?
You can find a detailed procedure to find GCD of 35, 698, 118, 797 on our page.
3. How to find GCD of 35, 698, 118, 797 on a calculator?
You can find the GCD of 35, 698, 118, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.