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 169, 770, 428, 241 i.e. 1 largest integer that divides all the numbers equally.
GCD of 169, 770, 428, 241 is 1
GCD(169, 770, 428, 241) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 169, 770, 428, 241 is 1
GCD(169, 770, 428, 241) = 1
Given Input numbers are 169, 770, 428, 241
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
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 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Greatest Common Divisior
We found the divisors of 169, 770, 428, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 770, 428, 241 is 1.
Therefore, GCD of numbers 169, 770, 428, 241 is 1
Given Input Data is 169, 770, 428, 241
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 169 is 13 x 13
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 241 is 241
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(169, 770) = 130130
GCD(169, 770) = ( 169 x 770 ) / 130130
GCD(169, 770) = 130130 / 130130
GCD(169, 770) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
GCD(1, 428) = 428 / 428
GCD(1, 428) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 241
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 241) = 241
GCD(1, 241) = ( 1 x 241 ) / 241
GCD(1, 241) = 241 / 241
GCD(1, 241) = 1
GCD of 169, 770, 428, 241 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 169, 770, 428, 241?
GCD of 169, 770, 428, 241 is 1
2. Where do I get the detailed procedure to find GCD of 169, 770, 428, 241?
You can find a detailed procedure to find GCD of 169, 770, 428, 241 on our page.
3. How to find GCD of 169, 770, 428, 241 on a calculator?
You can find the GCD of 169, 770, 428, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.