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 450, 748, 703, 345 i.e. 1 largest integer that divides all the numbers equally.
GCD of 450, 748, 703, 345 is 1
GCD(450, 748, 703, 345) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 450, 748, 703, 345 is 1
GCD(450, 748, 703, 345) = 1
Given Input numbers are 450, 748, 703, 345
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Greatest Common Divisior
We found the divisors of 450, 748, 703, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 748, 703, 345 is 1.
Therefore, GCD of numbers 450, 748, 703, 345 is 1
Given Input Data is 450, 748, 703, 345
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 703 is 19 x 37
Prime Factorization of 345 is 3 x 5 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(450, 748) = 168300
GCD(450, 748) = ( 450 x 748 ) / 168300
GCD(450, 748) = 336600 / 168300
GCD(450, 748) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 703
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 703) = 1406
GCD(2, 703) = ( 2 x 703 ) / 1406
GCD(2, 703) = 1406 / 1406
GCD(2, 703) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 345
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
GCD(1, 345) = 345 / 345
GCD(1, 345) = 1
GCD of 450, 748, 703, 345 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 450, 748, 703, 345?
GCD of 450, 748, 703, 345 is 1
2. Where do I get the detailed procedure to find GCD of 450, 748, 703, 345?
You can find a detailed procedure to find GCD of 450, 748, 703, 345 on our page.
3. How to find GCD of 450, 748, 703, 345 on a calculator?
You can find the GCD of 450, 748, 703, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.