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 625, 218, 216, 362 i.e. 1 largest integer that divides all the numbers equally.
GCD of 625, 218, 216, 362 is 1
GCD(625, 218, 216, 362) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 625, 218, 216, 362 is 1
GCD(625, 218, 216, 362) = 1
Given Input numbers are 625, 218, 216, 362
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Greatest Common Divisior
We found the divisors of 625, 218, 216, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 218, 216, 362 is 1.
Therefore, GCD of numbers 625, 218, 216, 362 is 1
Given Input Data is 625, 218, 216, 362
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 625 is 5 x 5 x 5 x 5
Prime Factorization of 218 is 2 x 109
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 362 is 2 x 181
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(625, 218) = 136250
GCD(625, 218) = ( 625 x 218 ) / 136250
GCD(625, 218) = 136250 / 136250
GCD(625, 218) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
GCD(1, 216) = 216 / 216
GCD(1, 216) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 362
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 362) = 362
GCD(1, 362) = ( 1 x 362 ) / 362
GCD(1, 362) = 362 / 362
GCD(1, 362) = 1
GCD of 625, 218, 216, 362 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 625, 218, 216, 362?
GCD of 625, 218, 216, 362 is 1
2. Where do I get the detailed procedure to find GCD of 625, 218, 216, 362?
You can find a detailed procedure to find GCD of 625, 218, 216, 362 on our page.
3. How to find GCD of 625, 218, 216, 362 on a calculator?
You can find the GCD of 625, 218, 216, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.