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 222, 202, 44, 713 i.e. 1 largest integer that divides all the numbers equally.
GCD of 222, 202, 44, 713 is 1
GCD(222, 202, 44, 713) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 222, 202, 44, 713 is 1
GCD(222, 202, 44, 713) = 1
Given Input numbers are 222, 202, 44, 713
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Greatest Common Divisior
We found the divisors of 222, 202, 44, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 222, 202, 44, 713 is 1.
Therefore, GCD of numbers 222, 202, 44, 713 is 1
Given Input Data is 222, 202, 44, 713
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 222 is 2 x 3 x 37
Prime Factorization of 202 is 2 x 101
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 713 is 23 x 31
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(222, 202) = 22422
GCD(222, 202) = ( 222 x 202 ) / 22422
GCD(222, 202) = 44844 / 22422
GCD(222, 202) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 44) = 44
GCD(2, 44) = ( 2 x 44 ) / 44
GCD(2, 44) = 88 / 44
GCD(2, 44) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 713
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 713) = 1426
GCD(2, 713) = ( 2 x 713 ) / 1426
GCD(2, 713) = 1426 / 1426
GCD(2, 713) = 1
GCD of 222, 202, 44, 713 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 222, 202, 44, 713?
GCD of 222, 202, 44, 713 is 1
2. Where do I get the detailed procedure to find GCD of 222, 202, 44, 713?
You can find a detailed procedure to find GCD of 222, 202, 44, 713 on our page.
3. How to find GCD of 222, 202, 44, 713 on a calculator?
You can find the GCD of 222, 202, 44, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.