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 218, 669, 850, 755 i.e. 1 largest integer that divides all the numbers equally.
GCD of 218, 669, 850, 755 is 1
GCD(218, 669, 850, 755) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 218, 669, 850, 755 is 1
GCD(218, 669, 850, 755) = 1
Given Input numbers are 218, 669, 850, 755
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Divisors of 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Greatest Common Divisior
We found the divisors of 218, 669, 850, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 669, 850, 755 is 1.
Therefore, GCD of numbers 218, 669, 850, 755 is 1
Given Input Data is 218, 669, 850, 755
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 218 is 2 x 109
Prime Factorization of 669 is 3 x 223
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 755 is 5 x 151
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(218, 669) = 145842
GCD(218, 669) = ( 218 x 669 ) / 145842
GCD(218, 669) = 145842 / 145842
GCD(218, 669) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 850) = 850
GCD(1, 850) = ( 1 x 850 ) / 850
GCD(1, 850) = 850 / 850
GCD(1, 850) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 755
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 755) = 755
GCD(1, 755) = ( 1 x 755 ) / 755
GCD(1, 755) = 755 / 755
GCD(1, 755) = 1
GCD of 218, 669, 850, 755 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 218, 669, 850, 755?
GCD of 218, 669, 850, 755 is 1
2. Where do I get the detailed procedure to find GCD of 218, 669, 850, 755?
You can find a detailed procedure to find GCD of 218, 669, 850, 755 on our page.
3. How to find GCD of 218, 669, 850, 755 on a calculator?
You can find the GCD of 218, 669, 850, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.