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 770, 909, 11, 580 i.e. 1 largest integer that divides all the numbers equally.
GCD of 770, 909, 11, 580 is 1
GCD(770, 909, 11, 580) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 770, 909, 11, 580 is 1
GCD(770, 909, 11, 580) = 1
Given Input numbers are 770, 909, 11, 580
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Greatest Common Divisior
We found the divisors of 770, 909, 11, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 909, 11, 580 is 1.
Therefore, GCD of numbers 770, 909, 11, 580 is 1
Given Input Data is 770, 909, 11, 580
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 11 is 11
Prime Factorization of 580 is 2 x 2 x 5 x 29
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(770, 909) = 699930
GCD(770, 909) = ( 770 x 909 ) / 699930
GCD(770, 909) = 699930 / 699930
GCD(770, 909) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 11) = 11
GCD(1, 11) = ( 1 x 11 ) / 11
GCD(1, 11) = 11 / 11
GCD(1, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 580
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 580) = 580
GCD(1, 580) = ( 1 x 580 ) / 580
GCD(1, 580) = 580 / 580
GCD(1, 580) = 1
GCD of 770, 909, 11, 580 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 770, 909, 11, 580?
GCD of 770, 909, 11, 580 is 1
2. Where do I get the detailed procedure to find GCD of 770, 909, 11, 580?
You can find a detailed procedure to find GCD of 770, 909, 11, 580 on our page.
3. How to find GCD of 770, 909, 11, 580 on a calculator?
You can find the GCD of 770, 909, 11, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.