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, 143, 77, 761 i.e. 1 largest integer that divides all the numbers equally.
GCD of 803, 143, 77, 761 is 1
GCD(803, 143, 77, 761) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 803, 143, 77, 761 is 1
GCD(803, 143, 77, 761) = 1
Given Input numbers are 803, 143, 77, 761
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 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 761
List of positive integer divisors of 761 that divides 761 without a remainder.
1, 761
Greatest Common Divisior
We found the divisors of 803, 143, 77, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 803, 143, 77, 761 is 1.
Therefore, GCD of numbers 803, 143, 77, 761 is 1
Given Input Data is 803, 143, 77, 761
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 803 is 11 x 73
Prime Factorization of 143 is 11 x 13
Prime Factorization of 77 is 7 x 11
Prime Factorization of 761 is 761
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, 143) = 10439
GCD(803, 143) = ( 803 x 143 ) / 10439
GCD(803, 143) = 114829 / 10439
GCD(803, 143) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 77) = 77
GCD(11, 77) = ( 11 x 77 ) / 77
GCD(11, 77) = 847 / 77
GCD(11, 77) = 11
Step3:
Here we consider the GCD from the above i.e. 11 as first number and the next as 761
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 761) = 8371
GCD(11, 761) = ( 11 x 761 ) / 8371
GCD(11, 761) = 8371 / 8371
GCD(11, 761) = 1
GCD of 803, 143, 77, 761 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 803, 143, 77, 761?
GCD of 803, 143, 77, 761 is 1
2. Where do I get the detailed procedure to find GCD of 803, 143, 77, 761?
You can find a detailed procedure to find GCD of 803, 143, 77, 761 on our page.
3. How to find GCD of 803, 143, 77, 761 on a calculator?
You can find the GCD of 803, 143, 77, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.