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 736, 889, 866, 986 i.e. 1 largest integer that divides all the numbers equally.
GCD of 736, 889, 866, 986 is 1
GCD(736, 889, 866, 986) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 736, 889, 866, 986 is 1
GCD(736, 889, 866, 986) = 1
Given Input numbers are 736, 889, 866, 986
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Divisors of 866
List of positive integer divisors of 866 that divides 866 without a remainder.
1, 2, 433, 866
Divisors of 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Greatest Common Divisior
We found the divisors of 736, 889, 866, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 889, 866, 986 is 1.
Therefore, GCD of numbers 736, 889, 866, 986 is 1
Given Input Data is 736, 889, 866, 986
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 889 is 7 x 127
Prime Factorization of 866 is 2 x 433
Prime Factorization of 986 is 2 x 17 x 29
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(736, 889) = 654304
GCD(736, 889) = ( 736 x 889 ) / 654304
GCD(736, 889) = 654304 / 654304
GCD(736, 889) = 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 986
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 986) = 986
GCD(1, 986) = ( 1 x 986 ) / 986
GCD(1, 986) = 986 / 986
GCD(1, 986) = 1
GCD of 736, 889, 866, 986 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 736, 889, 866, 986?
GCD of 736, 889, 866, 986 is 1
2. Where do I get the detailed procedure to find GCD of 736, 889, 866, 986?
You can find a detailed procedure to find GCD of 736, 889, 866, 986 on our page.
3. How to find GCD of 736, 889, 866, 986 on a calculator?
You can find the GCD of 736, 889, 866, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.