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 396, 544, 25, 702 i.e. 1 largest integer that divides all the numbers equally.
GCD of 396, 544, 25, 702 is 1
GCD(396, 544, 25, 702) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 396, 544, 25, 702 is 1
GCD(396, 544, 25, 702) = 1
Given Input numbers are 396, 544, 25, 702
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 544
List of positive integer divisors of 544 that divides 544 without a remainder.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Greatest Common Divisior
We found the divisors of 396, 544, 25, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 544, 25, 702 is 1.
Therefore, GCD of numbers 396, 544, 25, 702 is 1
Given Input Data is 396, 544, 25, 702
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17
Prime Factorization of 25 is 5 x 5
Prime Factorization of 702 is 2 x 3 x 3 x 3 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(396, 544) = 53856
GCD(396, 544) = ( 396 x 544 ) / 53856
GCD(396, 544) = 215424 / 53856
GCD(396, 544) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 25) = 100
GCD(4, 25) = ( 4 x 25 ) / 100
GCD(4, 25) = 100 / 100
GCD(4, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
GCD(1, 702) = 702 / 702
GCD(1, 702) = 1
GCD of 396, 544, 25, 702 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 396, 544, 25, 702?
GCD of 396, 544, 25, 702 is 1
2. Where do I get the detailed procedure to find GCD of 396, 544, 25, 702?
You can find a detailed procedure to find GCD of 396, 544, 25, 702 on our page.
3. How to find GCD of 396, 544, 25, 702 on a calculator?
You can find the GCD of 396, 544, 25, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.