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 629, 676, 512, 645 i.e. 1 largest integer that divides all the numbers equally.
GCD of 629, 676, 512, 645 is 1
GCD(629, 676, 512, 645) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 629, 676, 512, 645 is 1
GCD(629, 676, 512, 645) = 1
Given Input numbers are 629, 676, 512, 645
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Greatest Common Divisior
We found the divisors of 629, 676, 512, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 629, 676, 512, 645 is 1.
Therefore, GCD of numbers 629, 676, 512, 645 is 1
Given Input Data is 629, 676, 512, 645
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 629 is 17 x 37
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 645 is 3 x 5 x 43
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(629, 676) = 425204
GCD(629, 676) = ( 629 x 676 ) / 425204
GCD(629, 676) = 425204 / 425204
GCD(629, 676) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 512
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 512) = 512
GCD(1, 512) = ( 1 x 512 ) / 512
GCD(1, 512) = 512 / 512
GCD(1, 512) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 645
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 645) = 645
GCD(1, 645) = ( 1 x 645 ) / 645
GCD(1, 645) = 645 / 645
GCD(1, 645) = 1
GCD of 629, 676, 512, 645 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 629, 676, 512, 645?
GCD of 629, 676, 512, 645 is 1
2. Where do I get the detailed procedure to find GCD of 629, 676, 512, 645?
You can find a detailed procedure to find GCD of 629, 676, 512, 645 on our page.
3. How to find GCD of 629, 676, 512, 645 on a calculator?
You can find the GCD of 629, 676, 512, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.