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 738, 848, 32, 325 i.e. 1 largest integer that divides all the numbers equally.
GCD of 738, 848, 32, 325 is 1
GCD(738, 848, 32, 325) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 738, 848, 32, 325 is 1
GCD(738, 848, 32, 325) = 1
Given Input numbers are 738, 848, 32, 325
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
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 738, 848, 32, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 848, 32, 325 is 1.
Therefore, GCD of numbers 738, 848, 32, 325 is 1
Given Input Data is 738, 848, 32, 325
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
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(738, 848) = 312912
GCD(738, 848) = ( 738 x 848 ) / 312912
GCD(738, 848) = 625824 / 312912
GCD(738, 848) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 32) = 32
GCD(2, 32) = ( 2 x 32 ) / 32
GCD(2, 32) = 64 / 32
GCD(2, 32) = 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 738, 848, 32, 325 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 738, 848, 32, 325?
GCD of 738, 848, 32, 325 is 1
2. Where do I get the detailed procedure to find GCD of 738, 848, 32, 325?
You can find a detailed procedure to find GCD of 738, 848, 32, 325 on our page.
3. How to find GCD of 738, 848, 32, 325 on a calculator?
You can find the GCD of 738, 848, 32, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.