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 136, 276, 97, 596 i.e. 1 largest integer that divides all the numbers equally.
GCD of 136, 276, 97, 596 is 1
GCD(136, 276, 97, 596) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 136, 276, 97, 596 is 1
GCD(136, 276, 97, 596) = 1
Given Input numbers are 136, 276, 97, 596
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Greatest Common Divisior
We found the divisors of 136, 276, 97, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 276, 97, 596 is 1.
Therefore, GCD of numbers 136, 276, 97, 596 is 1
Given Input Data is 136, 276, 97, 596
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 97 is 97
Prime Factorization of 596 is 2 x 2 x 149
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(136, 276) = 9384
GCD(136, 276) = ( 136 x 276 ) / 9384
GCD(136, 276) = 37536 / 9384
GCD(136, 276) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 97) = 388
GCD(4, 97) = ( 4 x 97 ) / 388
GCD(4, 97) = 388 / 388
GCD(4, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 596
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 596) = 596
GCD(1, 596) = ( 1 x 596 ) / 596
GCD(1, 596) = 596 / 596
GCD(1, 596) = 1
GCD of 136, 276, 97, 596 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 136, 276, 97, 596?
GCD of 136, 276, 97, 596 is 1
2. Where do I get the detailed procedure to find GCD of 136, 276, 97, 596?
You can find a detailed procedure to find GCD of 136, 276, 97, 596 on our page.
3. How to find GCD of 136, 276, 97, 596 on a calculator?
You can find the GCD of 136, 276, 97, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.