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, 866, 349, 122 i.e. 1 largest integer that divides all the numbers equally.
GCD of 770, 866, 349, 122 is 1
GCD(770, 866, 349, 122) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 770, 866, 349, 122 is 1
GCD(770, 866, 349, 122) = 1
Given Input numbers are 770, 866, 349, 122
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 866
List of positive integer divisors of 866 that divides 866 without a remainder.
1, 2, 433, 866
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Greatest Common Divisior
We found the divisors of 770, 866, 349, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 866, 349, 122 is 1.
Therefore, GCD of numbers 770, 866, 349, 122 is 1
Given Input Data is 770, 866, 349, 122
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 866 is 2 x 433
Prime Factorization of 349 is 349
Prime Factorization of 122 is 2 x 61
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, 866) = 333410
GCD(770, 866) = ( 770 x 866 ) / 333410
GCD(770, 866) = 666820 / 333410
GCD(770, 866) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 349
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 349) = 698
GCD(2, 349) = ( 2 x 349 ) / 698
GCD(2, 349) = 698 / 698
GCD(2, 349) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 122
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 122) = 122
GCD(1, 122) = ( 1 x 122 ) / 122
GCD(1, 122) = 122 / 122
GCD(1, 122) = 1
GCD of 770, 866, 349, 122 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 770, 866, 349, 122?
GCD of 770, 866, 349, 122 is 1
2. Where do I get the detailed procedure to find GCD of 770, 866, 349, 122?
You can find a detailed procedure to find GCD of 770, 866, 349, 122 on our page.
3. How to find GCD of 770, 866, 349, 122 on a calculator?
You can find the GCD of 770, 866, 349, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.