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 732, 425, 24, 414 i.e. 1 largest integer that divides all the numbers equally.
GCD of 732, 425, 24, 414 is 1
GCD(732, 425, 24, 414) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 732, 425, 24, 414 is 1
GCD(732, 425, 24, 414) = 1
Given Input numbers are 732, 425, 24, 414
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 414
List of positive integer divisors of 414 that divides 414 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Greatest Common Divisior
We found the divisors of 732, 425, 24, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 425, 24, 414 is 1.
Therefore, GCD of numbers 732, 425, 24, 414 is 1
Given Input Data is 732, 425, 24, 414
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 414 is 2 x 3 x 3 x 23
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(732, 425) = 311100
GCD(732, 425) = ( 732 x 425 ) / 311100
GCD(732, 425) = 311100 / 311100
GCD(732, 425) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 24) = 24
GCD(1, 24) = ( 1 x 24 ) / 24
GCD(1, 24) = 24 / 24
GCD(1, 24) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 414
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 414) = 414
GCD(1, 414) = ( 1 x 414 ) / 414
GCD(1, 414) = 414 / 414
GCD(1, 414) = 1
GCD of 732, 425, 24, 414 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 732, 425, 24, 414?
GCD of 732, 425, 24, 414 is 1
2. Where do I get the detailed procedure to find GCD of 732, 425, 24, 414?
You can find a detailed procedure to find GCD of 732, 425, 24, 414 on our page.
3. How to find GCD of 732, 425, 24, 414 on a calculator?
You can find the GCD of 732, 425, 24, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.