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 359, 629, 59, 758 i.e. 1 largest integer that divides all the numbers equally.
GCD of 359, 629, 59, 758 is 1
GCD(359, 629, 59, 758) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 359, 629, 59, 758 is 1
GCD(359, 629, 59, 758) = 1
Given Input numbers are 359, 629, 59, 758
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Greatest Common Divisior
We found the divisors of 359, 629, 59, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 629, 59, 758 is 1.
Therefore, GCD of numbers 359, 629, 59, 758 is 1
Given Input Data is 359, 629, 59, 758
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 359 is 359
Prime Factorization of 629 is 17 x 37
Prime Factorization of 59 is 59
Prime Factorization of 758 is 2 x 379
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(359, 629) = 225811
GCD(359, 629) = ( 359 x 629 ) / 225811
GCD(359, 629) = 225811 / 225811
GCD(359, 629) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 758
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 758) = 758
GCD(1, 758) = ( 1 x 758 ) / 758
GCD(1, 758) = 758 / 758
GCD(1, 758) = 1
GCD of 359, 629, 59, 758 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 359, 629, 59, 758?
GCD of 359, 629, 59, 758 is 1
2. Where do I get the detailed procedure to find GCD of 359, 629, 59, 758?
You can find a detailed procedure to find GCD of 359, 629, 59, 758 on our page.
3. How to find GCD of 359, 629, 59, 758 on a calculator?
You can find the GCD of 359, 629, 59, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.