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, 571, 77, 196 i.e. 1 largest integer that divides all the numbers equally.
GCD of 909, 571, 77, 196 is 1
GCD(909, 571, 77, 196) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 909, 571, 77, 196 is 1
GCD(909, 571, 77, 196) = 1
Given Input numbers are 909, 571, 77, 196
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 571
List of positive integer divisors of 571 that divides 571 without a remainder.
1, 571
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Greatest Common Divisior
We found the divisors of 909, 571, 77, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 571, 77, 196 is 1.
Therefore, GCD of numbers 909, 571, 77, 196 is 1
Given Input Data is 909, 571, 77, 196
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 571 is 571
Prime Factorization of 77 is 7 x 11
Prime Factorization of 196 is 2 x 2 x 7 x 7
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, 571) = 519039
GCD(909, 571) = ( 909 x 571 ) / 519039
GCD(909, 571) = 519039 / 519039
GCD(909, 571) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 196
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 196) = 196
GCD(1, 196) = ( 1 x 196 ) / 196
GCD(1, 196) = 196 / 196
GCD(1, 196) = 1
GCD of 909, 571, 77, 196 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 909, 571, 77, 196?
GCD of 909, 571, 77, 196 is 1
2. Where do I get the detailed procedure to find GCD of 909, 571, 77, 196?
You can find a detailed procedure to find GCD of 909, 571, 77, 196 on our page.
3. How to find GCD of 909, 571, 77, 196 on a calculator?
You can find the GCD of 909, 571, 77, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.