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 724, 668, 45, 448 i.e. 1 largest integer that divides all the numbers equally.
GCD of 724, 668, 45, 448 is 1
GCD(724, 668, 45, 448) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 668, 45, 448 is 1
GCD(724, 668, 45, 448) = 1
Given Input numbers are 724, 668, 45, 448
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Greatest Common Divisior
We found the divisors of 724, 668, 45, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 668, 45, 448 is 1.
Therefore, GCD of numbers 724, 668, 45, 448 is 1
Given Input Data is 724, 668, 45, 448
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
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(724, 668) = 120908
GCD(724, 668) = ( 724 x 668 ) / 120908
GCD(724, 668) = 483632 / 120908
GCD(724, 668) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 45) = 180
GCD(4, 45) = ( 4 x 45 ) / 180
GCD(4, 45) = 180 / 180
GCD(4, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 448
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 448) = 448
GCD(1, 448) = ( 1 x 448 ) / 448
GCD(1, 448) = 448 / 448
GCD(1, 448) = 1
GCD of 724, 668, 45, 448 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 668, 45, 448?
GCD of 724, 668, 45, 448 is 1
2. Where do I get the detailed procedure to find GCD of 724, 668, 45, 448?
You can find a detailed procedure to find GCD of 724, 668, 45, 448 on our page.
3. How to find GCD of 724, 668, 45, 448 on a calculator?
You can find the GCD of 724, 668, 45, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.