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 703, 404, 75, 143 i.e. 1 largest integer that divides all the numbers equally.
GCD of 703, 404, 75, 143 is 1
GCD(703, 404, 75, 143) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 703, 404, 75, 143 is 1
GCD(703, 404, 75, 143) = 1
Given Input numbers are 703, 404, 75, 143
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Greatest Common Divisior
We found the divisors of 703, 404, 75, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 703, 404, 75, 143 is 1.
Therefore, GCD of numbers 703, 404, 75, 143 is 1
Given Input Data is 703, 404, 75, 143
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 703 is 19 x 37
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 143 is 11 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(703, 404) = 284012
GCD(703, 404) = ( 703 x 404 ) / 284012
GCD(703, 404) = 284012 / 284012
GCD(703, 404) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 143
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 143) = 143
GCD(1, 143) = ( 1 x 143 ) / 143
GCD(1, 143) = 143 / 143
GCD(1, 143) = 1
GCD of 703, 404, 75, 143 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 703, 404, 75, 143?
GCD of 703, 404, 75, 143 is 1
2. Where do I get the detailed procedure to find GCD of 703, 404, 75, 143?
You can find a detailed procedure to find GCD of 703, 404, 75, 143 on our page.
3. How to find GCD of 703, 404, 75, 143 on a calculator?
You can find the GCD of 703, 404, 75, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.