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 212, 350, 699, 300 i.e. 1 largest integer that divides all the numbers equally.
GCD of 212, 350, 699, 300 is 1
GCD(212, 350, 699, 300) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 212, 350, 699, 300 is 1
GCD(212, 350, 699, 300) = 1
Given Input numbers are 212, 350, 699, 300
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Greatest Common Divisior
We found the divisors of 212, 350, 699, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 350, 699, 300 is 1.
Therefore, GCD of numbers 212, 350, 699, 300 is 1
Given Input Data is 212, 350, 699, 300
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 699 is 3 x 233
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
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(212, 350) = 37100
GCD(212, 350) = ( 212 x 350 ) / 37100
GCD(212, 350) = 74200 / 37100
GCD(212, 350) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 699
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 699) = 1398
GCD(2, 699) = ( 2 x 699 ) / 1398
GCD(2, 699) = 1398 / 1398
GCD(2, 699) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 300
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 300) = 300
GCD(1, 300) = ( 1 x 300 ) / 300
GCD(1, 300) = 300 / 300
GCD(1, 300) = 1
GCD of 212, 350, 699, 300 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 212, 350, 699, 300?
GCD of 212, 350, 699, 300 is 1
2. Where do I get the detailed procedure to find GCD of 212, 350, 699, 300?
You can find a detailed procedure to find GCD of 212, 350, 699, 300 on our page.
3. How to find GCD of 212, 350, 699, 300 on a calculator?
You can find the GCD of 212, 350, 699, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.