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 696, 557, 354, 973 i.e. 1 largest integer that divides all the numbers equally.
GCD of 696, 557, 354, 973 is 1
GCD(696, 557, 354, 973) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 696, 557, 354, 973 is 1
GCD(696, 557, 354, 973) = 1
Given Input numbers are 696, 557, 354, 973
To find the GCD of numbers using factoring list out all the divisors of each number
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 557
List of positive integer divisors of 557 that divides 557 without a remainder.
1, 557
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 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Greatest Common Divisior
We found the divisors of 696, 557, 354, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 557, 354, 973 is 1.
Therefore, GCD of numbers 696, 557, 354, 973 is 1
Given Input Data is 696, 557, 354, 973
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 557 is 557
Prime Factorization of 354 is 2 x 3 x 59
Prime Factorization of 973 is 7 x 139
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(696, 557) = 387672
GCD(696, 557) = ( 696 x 557 ) / 387672
GCD(696, 557) = 387672 / 387672
GCD(696, 557) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 354
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 354) = 354
GCD(1, 354) = ( 1 x 354 ) / 354
GCD(1, 354) = 354 / 354
GCD(1, 354) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 973
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 973) = 973
GCD(1, 973) = ( 1 x 973 ) / 973
GCD(1, 973) = 973 / 973
GCD(1, 973) = 1
GCD of 696, 557, 354, 973 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 696, 557, 354, 973?
GCD of 696, 557, 354, 973 is 1
2. Where do I get the detailed procedure to find GCD of 696, 557, 354, 973?
You can find a detailed procedure to find GCD of 696, 557, 354, 973 on our page.
3. How to find GCD of 696, 557, 354, 973 on a calculator?
You can find the GCD of 696, 557, 354, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.