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 296, 616, 90, 325 i.e. 1 largest integer that divides all the numbers equally.
GCD of 296, 616, 90, 325 is 1
GCD(296, 616, 90, 325) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 296, 616, 90, 325 is 1
GCD(296, 616, 90, 325) = 1
Given Input numbers are 296, 616, 90, 325
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Greatest Common Divisior
We found the divisors of 296, 616, 90, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 616, 90, 325 is 1.
Therefore, GCD of numbers 296, 616, 90, 325 is 1
Given Input Data is 296, 616, 90, 325
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 296 is 2 x 2 x 2 x 37
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 325 is 5 x 5 x 13
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(296, 616) = 22792
GCD(296, 616) = ( 296 x 616 ) / 22792
GCD(296, 616) = 182336 / 22792
GCD(296, 616) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 90) = 360
GCD(8, 90) = ( 8 x 90 ) / 360
GCD(8, 90) = 720 / 360
GCD(8, 90) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 325
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 325) = 650
GCD(2, 325) = ( 2 x 325 ) / 650
GCD(2, 325) = 650 / 650
GCD(2, 325) = 1
GCD of 296, 616, 90, 325 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 296, 616, 90, 325?
GCD of 296, 616, 90, 325 is 1
2. Where do I get the detailed procedure to find GCD of 296, 616, 90, 325?
You can find a detailed procedure to find GCD of 296, 616, 90, 325 on our page.
3. How to find GCD of 296, 616, 90, 325 on a calculator?
You can find the GCD of 296, 616, 90, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.