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 35, 193, 356, 696 i.e. 1 largest integer that divides all the numbers equally.
GCD of 35, 193, 356, 696 is 1
GCD(35, 193, 356, 696) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 35, 193, 356, 696 is 1
GCD(35, 193, 356, 696) = 1
Given Input numbers are 35, 193, 356, 696
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 193
List of positive integer divisors of 193 that divides 193 without a remainder.
1, 193
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
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
Greatest Common Divisior
We found the divisors of 35, 193, 356, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 193, 356, 696 is 1.
Therefore, GCD of numbers 35, 193, 356, 696 is 1
Given Input Data is 35, 193, 356, 696
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 35 is 5 x 7
Prime Factorization of 193 is 193
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
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(35, 193) = 6755
GCD(35, 193) = ( 35 x 193 ) / 6755
GCD(35, 193) = 6755 / 6755
GCD(35, 193) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 356
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 356) = 356
GCD(1, 356) = ( 1 x 356 ) / 356
GCD(1, 356) = 356 / 356
GCD(1, 356) = 1
Step3:
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
GCD of 35, 193, 356, 696 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 35, 193, 356, 696?
GCD of 35, 193, 356, 696 is 1
2. Where do I get the detailed procedure to find GCD of 35, 193, 356, 696?
You can find a detailed procedure to find GCD of 35, 193, 356, 696 on our page.
3. How to find GCD of 35, 193, 356, 696 on a calculator?
You can find the GCD of 35, 193, 356, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.