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, 308, 32, 261 i.e. 1 largest integer that divides all the numbers equally.
GCD of 696, 308, 32, 261 is 1
GCD(696, 308, 32, 261) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 696, 308, 32, 261 is 1
GCD(696, 308, 32, 261) = 1
Given Input numbers are 696, 308, 32, 261
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 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Greatest Common Divisior
We found the divisors of 696, 308, 32, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 308, 32, 261 is 1.
Therefore, GCD of numbers 696, 308, 32, 261 is 1
Given Input Data is 696, 308, 32, 261
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 308 is 2 x 2 x 7 x 11
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 261 is 3 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(696, 308) = 53592
GCD(696, 308) = ( 696 x 308 ) / 53592
GCD(696, 308) = 214368 / 53592
GCD(696, 308) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 32) = 32
GCD(4, 32) = ( 4 x 32 ) / 32
GCD(4, 32) = 128 / 32
GCD(4, 32) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 261
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 261) = 1044
GCD(4, 261) = ( 4 x 261 ) / 1044
GCD(4, 261) = 1044 / 1044
GCD(4, 261) = 1
GCD of 696, 308, 32, 261 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 696, 308, 32, 261?
GCD of 696, 308, 32, 261 is 1
2. Where do I get the detailed procedure to find GCD of 696, 308, 32, 261?
You can find a detailed procedure to find GCD of 696, 308, 32, 261 on our page.
3. How to find GCD of 696, 308, 32, 261 on a calculator?
You can find the GCD of 696, 308, 32, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.