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 102, 201, 79, 645 i.e. 1 largest integer that divides all the numbers equally.
GCD of 102, 201, 79, 645 is 1
GCD(102, 201, 79, 645) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 102, 201, 79, 645 is 1
GCD(102, 201, 79, 645) = 1
Given Input numbers are 102, 201, 79, 645
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Greatest Common Divisior
We found the divisors of 102, 201, 79, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 201, 79, 645 is 1.
Therefore, GCD of numbers 102, 201, 79, 645 is 1
Given Input Data is 102, 201, 79, 645
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 102 is 2 x 3 x 17
Prime Factorization of 201 is 3 x 67
Prime Factorization of 79 is 79
Prime Factorization of 645 is 3 x 5 x 43
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(102, 201) = 6834
GCD(102, 201) = ( 102 x 201 ) / 6834
GCD(102, 201) = 20502 / 6834
GCD(102, 201) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 79) = 237
GCD(3, 79) = ( 3 x 79 ) / 237
GCD(3, 79) = 237 / 237
GCD(3, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 645
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 645) = 645
GCD(1, 645) = ( 1 x 645 ) / 645
GCD(1, 645) = 645 / 645
GCD(1, 645) = 1
GCD of 102, 201, 79, 645 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 102, 201, 79, 645?
GCD of 102, 201, 79, 645 is 1
2. Where do I get the detailed procedure to find GCD of 102, 201, 79, 645?
You can find a detailed procedure to find GCD of 102, 201, 79, 645 on our page.
3. How to find GCD of 102, 201, 79, 645 on a calculator?
You can find the GCD of 102, 201, 79, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.