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 352, 501, 688, 218 i.e. 1 largest integer that divides all the numbers equally.
GCD of 352, 501, 688, 218 is 1
GCD(352, 501, 688, 218) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 352, 501, 688, 218 is 1
GCD(352, 501, 688, 218) = 1
Given Input numbers are 352, 501, 688, 218
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Greatest Common Divisior
We found the divisors of 352, 501, 688, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 501, 688, 218 is 1.
Therefore, GCD of numbers 352, 501, 688, 218 is 1
Given Input Data is 352, 501, 688, 218
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 501 is 3 x 167
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 218 is 2 x 109
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(352, 501) = 176352
GCD(352, 501) = ( 352 x 501 ) / 176352
GCD(352, 501) = 176352 / 176352
GCD(352, 501) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 688
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 688) = 688
GCD(1, 688) = ( 1 x 688 ) / 688
GCD(1, 688) = 688 / 688
GCD(1, 688) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 218
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 218) = 218
GCD(1, 218) = ( 1 x 218 ) / 218
GCD(1, 218) = 218 / 218
GCD(1, 218) = 1
GCD of 352, 501, 688, 218 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 352, 501, 688, 218?
GCD of 352, 501, 688, 218 is 1
2. Where do I get the detailed procedure to find GCD of 352, 501, 688, 218?
You can find a detailed procedure to find GCD of 352, 501, 688, 218 on our page.
3. How to find GCD of 352, 501, 688, 218 on a calculator?
You can find the GCD of 352, 501, 688, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.