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 357, 886, 49, 216 i.e. 1 largest integer that divides all the numbers equally.
GCD of 357, 886, 49, 216 is 1
GCD(357, 886, 49, 216) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 357, 886, 49, 216 is 1
GCD(357, 886, 49, 216) = 1
Given Input numbers are 357, 886, 49, 216
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 886
List of positive integer divisors of 886 that divides 886 without a remainder.
1, 2, 443, 886
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
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
Greatest Common Divisior
We found the divisors of 357, 886, 49, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 886, 49, 216 is 1.
Therefore, GCD of numbers 357, 886, 49, 216 is 1
Given Input Data is 357, 886, 49, 216
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 886 is 2 x 443
Prime Factorization of 49 is 7 x 7
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
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(357, 886) = 316302
GCD(357, 886) = ( 357 x 886 ) / 316302
GCD(357, 886) = 316302 / 316302
GCD(357, 886) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 1
Step3:
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
GCD of 357, 886, 49, 216 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 357, 886, 49, 216?
GCD of 357, 886, 49, 216 is 1
2. Where do I get the detailed procedure to find GCD of 357, 886, 49, 216?
You can find a detailed procedure to find GCD of 357, 886, 49, 216 on our page.
3. How to find GCD of 357, 886, 49, 216 on a calculator?
You can find the GCD of 357, 886, 49, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.