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 18, 699, 754, 850 i.e. 1 largest integer that divides all the numbers equally.
GCD of 18, 699, 754, 850 is 1
GCD(18, 699, 754, 850) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 699, 754, 850 is 1
GCD(18, 699, 754, 850) = 1
Given Input numbers are 18, 699, 754, 850
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
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
Greatest Common Divisior
We found the divisors of 18, 699, 754, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 699, 754, 850 is 1.
Therefore, GCD of numbers 18, 699, 754, 850 is 1
Given Input Data is 18, 699, 754, 850
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 699 is 3 x 233
Prime Factorization of 754 is 2 x 13 x 29
Prime Factorization of 850 is 2 x 5 x 5 x 17
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(18, 699) = 4194
GCD(18, 699) = ( 18 x 699 ) / 4194
GCD(18, 699) = 12582 / 4194
GCD(18, 699) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 754
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 754) = 2262
GCD(3, 754) = ( 3 x 754 ) / 2262
GCD(3, 754) = 2262 / 2262
GCD(3, 754) = 1
Step3:
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
GCD of 18, 699, 754, 850 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 18, 699, 754, 850?
GCD of 18, 699, 754, 850 is 1
2. Where do I get the detailed procedure to find GCD of 18, 699, 754, 850?
You can find a detailed procedure to find GCD of 18, 699, 754, 850 on our page.
3. How to find GCD of 18, 699, 754, 850 on a calculator?
You can find the GCD of 18, 699, 754, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.