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 909, 716, 970, 211 i.e. 1 largest integer that divides all the numbers equally.
GCD of 909, 716, 970, 211 is 1
GCD(909, 716, 970, 211) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 909, 716, 970, 211 is 1
GCD(909, 716, 970, 211) = 1
Given Input numbers are 909, 716, 970, 211
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 211
List of positive integer divisors of 211 that divides 211 without a remainder.
1, 211
Greatest Common Divisior
We found the divisors of 909, 716, 970, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 716, 970, 211 is 1.
Therefore, GCD of numbers 909, 716, 970, 211 is 1
Given Input Data is 909, 716, 970, 211
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 970 is 2 x 5 x 97
Prime Factorization of 211 is 211
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(909, 716) = 650844
GCD(909, 716) = ( 909 x 716 ) / 650844
GCD(909, 716) = 650844 / 650844
GCD(909, 716) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 970
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 970) = 970
GCD(1, 970) = ( 1 x 970 ) / 970
GCD(1, 970) = 970 / 970
GCD(1, 970) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 211
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 211) = 211
GCD(1, 211) = ( 1 x 211 ) / 211
GCD(1, 211) = 211 / 211
GCD(1, 211) = 1
GCD of 909, 716, 970, 211 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 909, 716, 970, 211?
GCD of 909, 716, 970, 211 is 1
2. Where do I get the detailed procedure to find GCD of 909, 716, 970, 211?
You can find a detailed procedure to find GCD of 909, 716, 970, 211 on our page.
3. How to find GCD of 909, 716, 970, 211 on a calculator?
You can find the GCD of 909, 716, 970, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.