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, 772, 210, 653 i.e. 1 largest integer that divides all the numbers equally.
GCD of 803, 772, 210, 653 is 1
GCD(803, 772, 210, 653) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 803, 772, 210, 653 is 1
GCD(803, 772, 210, 653) = 1
Given Input numbers are 803, 772, 210, 653
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 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Greatest Common Divisior
We found the divisors of 803, 772, 210, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 803, 772, 210, 653 is 1.
Therefore, GCD of numbers 803, 772, 210, 653 is 1
Given Input Data is 803, 772, 210, 653
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 803 is 11 x 73
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 653 is 653
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, 772) = 619916
GCD(803, 772) = ( 803 x 772 ) / 619916
GCD(803, 772) = 619916 / 619916
GCD(803, 772) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 210
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 210) = 210
GCD(1, 210) = ( 1 x 210 ) / 210
GCD(1, 210) = 210 / 210
GCD(1, 210) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 653
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 653) = 653
GCD(1, 653) = ( 1 x 653 ) / 653
GCD(1, 653) = 653 / 653
GCD(1, 653) = 1
GCD of 803, 772, 210, 653 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 803, 772, 210, 653?
GCD of 803, 772, 210, 653 is 1
2. Where do I get the detailed procedure to find GCD of 803, 772, 210, 653?
You can find a detailed procedure to find GCD of 803, 772, 210, 653 on our page.
3. How to find GCD of 803, 772, 210, 653 on a calculator?
You can find the GCD of 803, 772, 210, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.