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 354, 623, 696, 913 i.e. 1 largest integer that divides all the numbers equally.
GCD of 354, 623, 696, 913 is 1
GCD(354, 623, 696, 913) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 354, 623, 696, 913 is 1
GCD(354, 623, 696, 913) = 1
Given Input numbers are 354, 623, 696, 913
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 623
List of positive integer divisors of 623 that divides 623 without a remainder.
1, 7, 89, 623
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Greatest Common Divisior
We found the divisors of 354, 623, 696, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 623, 696, 913 is 1.
Therefore, GCD of numbers 354, 623, 696, 913 is 1
Given Input Data is 354, 623, 696, 913
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 354 is 2 x 3 x 59
Prime Factorization of 623 is 7 x 89
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 913 is 11 x 83
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(354, 623) = 220542
GCD(354, 623) = ( 354 x 623 ) / 220542
GCD(354, 623) = 220542 / 220542
GCD(354, 623) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 696
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 696) = 696
GCD(1, 696) = ( 1 x 696 ) / 696
GCD(1, 696) = 696 / 696
GCD(1, 696) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 913) = 913
GCD(1, 913) = ( 1 x 913 ) / 913
GCD(1, 913) = 913 / 913
GCD(1, 913) = 1
GCD of 354, 623, 696, 913 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 354, 623, 696, 913?
GCD of 354, 623, 696, 913 is 1
2. Where do I get the detailed procedure to find GCD of 354, 623, 696, 913?
You can find a detailed procedure to find GCD of 354, 623, 696, 913 on our page.
3. How to find GCD of 354, 623, 696, 913 on a calculator?
You can find the GCD of 354, 623, 696, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.