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 803, 703, 623, 642 i.e. 1 largest integer that divides all the numbers equally.
GCD of 803, 703, 623, 642 is 1
GCD(803, 703, 623, 642) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 803, 703, 623, 642 is 1
GCD(803, 703, 623, 642) = 1
Given Input numbers are 803, 703, 623, 642
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 803
List of positive integer divisors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Divisors of 623
List of positive integer divisors of 623 that divides 623 without a remainder.
1, 7, 89, 623
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Greatest Common Divisior
We found the divisors of 803, 703, 623, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 803, 703, 623, 642 is 1.
Therefore, GCD of numbers 803, 703, 623, 642 is 1
Given Input Data is 803, 703, 623, 642
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 803 is 11 x 73
Prime Factorization of 703 is 19 x 37
Prime Factorization of 623 is 7 x 89
Prime Factorization of 642 is 2 x 3 x 107
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(803, 703) = 564509
GCD(803, 703) = ( 803 x 703 ) / 564509
GCD(803, 703) = 564509 / 564509
GCD(803, 703) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 623
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 623) = 623
GCD(1, 623) = ( 1 x 623 ) / 623
GCD(1, 623) = 623 / 623
GCD(1, 623) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 642
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 642) = 642
GCD(1, 642) = ( 1 x 642 ) / 642
GCD(1, 642) = 642 / 642
GCD(1, 642) = 1
GCD of 803, 703, 623, 642 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 803, 703, 623, 642?
GCD of 803, 703, 623, 642 is 1
2. Where do I get the detailed procedure to find GCD of 803, 703, 623, 642?
You can find a detailed procedure to find GCD of 803, 703, 623, 642 on our page.
3. How to find GCD of 803, 703, 623, 642 on a calculator?
You can find the GCD of 803, 703, 623, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.