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 101, 653, 60, 818 i.e. 1 largest integer that divides all the numbers equally.
GCD of 101, 653, 60, 818 is 1
GCD(101, 653, 60, 818) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 101, 653, 60, 818 is 1
GCD(101, 653, 60, 818) = 1
Given Input numbers are 101, 653, 60, 818
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 818
List of positive integer divisors of 818 that divides 818 without a remainder.
1, 2, 409, 818
Greatest Common Divisior
We found the divisors of 101, 653, 60, 818 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 653, 60, 818 is 1.
Therefore, GCD of numbers 101, 653, 60, 818 is 1
Given Input Data is 101, 653, 60, 818
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 101 is 101
Prime Factorization of 653 is 653
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 818 is 2 x 409
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(101, 653) = 65953
GCD(101, 653) = ( 101 x 653 ) / 65953
GCD(101, 653) = 65953 / 65953
GCD(101, 653) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 818
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 818) = 818
GCD(1, 818) = ( 1 x 818 ) / 818
GCD(1, 818) = 818 / 818
GCD(1, 818) = 1
GCD of 101, 653, 60, 818 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 101, 653, 60, 818?
GCD of 101, 653, 60, 818 is 1
2. Where do I get the detailed procedure to find GCD of 101, 653, 60, 818?
You can find a detailed procedure to find GCD of 101, 653, 60, 818 on our page.
3. How to find GCD of 101, 653, 60, 818 on a calculator?
You can find the GCD of 101, 653, 60, 818 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.