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 695, 101, 698, 121 i.e. 1 largest integer that divides all the numbers equally.
GCD of 695, 101, 698, 121 is 1
GCD(695, 101, 698, 121) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 695, 101, 698, 121 is 1
GCD(695, 101, 698, 121) = 1
Given Input numbers are 695, 101, 698, 121
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Greatest Common Divisior
We found the divisors of 695, 101, 698, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 695, 101, 698, 121 is 1.
Therefore, GCD of numbers 695, 101, 698, 121 is 1
Given Input Data is 695, 101, 698, 121
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 695 is 5 x 139
Prime Factorization of 101 is 101
Prime Factorization of 698 is 2 x 349
Prime Factorization of 121 is 11 x 11
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(695, 101) = 70195
GCD(695, 101) = ( 695 x 101 ) / 70195
GCD(695, 101) = 70195 / 70195
GCD(695, 101) = 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 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 121) = 121
GCD(1, 121) = ( 1 x 121 ) / 121
GCD(1, 121) = 121 / 121
GCD(1, 121) = 1
GCD of 695, 101, 698, 121 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 695, 101, 698, 121?
GCD of 695, 101, 698, 121 is 1
2. Where do I get the detailed procedure to find GCD of 695, 101, 698, 121?
You can find a detailed procedure to find GCD of 695, 101, 698, 121 on our page.
3. How to find GCD of 695, 101, 698, 121 on a calculator?
You can find the GCD of 695, 101, 698, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.