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 345, 629, 757, 469 i.e. 1 largest integer that divides all the numbers equally.
GCD of 345, 629, 757, 469 is 1
GCD(345, 629, 757, 469) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 345, 629, 757, 469 is 1
GCD(345, 629, 757, 469) = 1
Given Input numbers are 345, 629, 757, 469
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Greatest Common Divisior
We found the divisors of 345, 629, 757, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 629, 757, 469 is 1.
Therefore, GCD of numbers 345, 629, 757, 469 is 1
Given Input Data is 345, 629, 757, 469
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 629 is 17 x 37
Prime Factorization of 757 is 757
Prime Factorization of 469 is 7 x 67
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(345, 629) = 217005
GCD(345, 629) = ( 345 x 629 ) / 217005
GCD(345, 629) = 217005 / 217005
GCD(345, 629) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 757
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 757) = 757
GCD(1, 757) = ( 1 x 757 ) / 757
GCD(1, 757) = 757 / 757
GCD(1, 757) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 469
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 469) = 469
GCD(1, 469) = ( 1 x 469 ) / 469
GCD(1, 469) = 469 / 469
GCD(1, 469) = 1
GCD of 345, 629, 757, 469 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 345, 629, 757, 469?
GCD of 345, 629, 757, 469 is 1
2. Where do I get the detailed procedure to find GCD of 345, 629, 757, 469?
You can find a detailed procedure to find GCD of 345, 629, 757, 469 on our page.
3. How to find GCD of 345, 629, 757, 469 on a calculator?
You can find the GCD of 345, 629, 757, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.