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 64, 602, 222, 316 i.e. 2 largest integer that divides all the numbers equally.
GCD of 64, 602, 222, 316 is 2
GCD(64, 602, 222, 316) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 64, 602, 222, 316 is 2
GCD(64, 602, 222, 316) = 2
Given Input numbers are 64, 602, 222, 316
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
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 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Greatest Common Divisior
We found the divisors of 64, 602, 222, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 602, 222, 316 is 2.
Therefore, GCD of numbers 64, 602, 222, 316 is 2
Given Input Data is 64, 602, 222, 316
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 602 is 2 x 7 x 43
Prime Factorization of 222 is 2 x 3 x 37
Prime Factorization of 316 is 2 x 2 x 79
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(64, 602) = 19264
GCD(64, 602) = ( 64 x 602 ) / 19264
GCD(64, 602) = 38528 / 19264
GCD(64, 602) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 222
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 222) = 222
GCD(2, 222) = ( 2 x 222 ) / 222
GCD(2, 222) = 444 / 222
GCD(2, 222) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 316
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 316) = 316
GCD(2, 316) = ( 2 x 316 ) / 316
GCD(2, 316) = 632 / 316
GCD(2, 316) = 2
GCD of 64, 602, 222, 316 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 64, 602, 222, 316?
GCD of 64, 602, 222, 316 is 2
2. Where do I get the detailed procedure to find GCD of 64, 602, 222, 316?
You can find a detailed procedure to find GCD of 64, 602, 222, 316 on our page.
3. How to find GCD of 64, 602, 222, 316 on a calculator?
You can find the GCD of 64, 602, 222, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.