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 277, 996, 866, 890 i.e. 1 largest integer that divides all the numbers equally.
GCD of 277, 996, 866, 890 is 1
GCD(277, 996, 866, 890) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 277, 996, 866, 890 is 1
GCD(277, 996, 866, 890) = 1
Given Input numbers are 277, 996, 866, 890
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 866
List of positive integer divisors of 866 that divides 866 without a remainder.
1, 2, 433, 866
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Greatest Common Divisior
We found the divisors of 277, 996, 866, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 277, 996, 866, 890 is 1.
Therefore, GCD of numbers 277, 996, 866, 890 is 1
Given Input Data is 277, 996, 866, 890
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 277 is 277
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 866 is 2 x 433
Prime Factorization of 890 is 2 x 5 x 89
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(277, 996) = 275892
GCD(277, 996) = ( 277 x 996 ) / 275892
GCD(277, 996) = 275892 / 275892
GCD(277, 996) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 866
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 866) = 866
GCD(1, 866) = ( 1 x 866 ) / 866
GCD(1, 866) = 866 / 866
GCD(1, 866) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 890
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 890) = 890
GCD(1, 890) = ( 1 x 890 ) / 890
GCD(1, 890) = 890 / 890
GCD(1, 890) = 1
GCD of 277, 996, 866, 890 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 277, 996, 866, 890?
GCD of 277, 996, 866, 890 is 1
2. Where do I get the detailed procedure to find GCD of 277, 996, 866, 890?
You can find a detailed procedure to find GCD of 277, 996, 866, 890 on our page.
3. How to find GCD of 277, 996, 866, 890 on a calculator?
You can find the GCD of 277, 996, 866, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.