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, 866, 693, 263 i.e. 1 largest integer that divides all the numbers equally.
GCD of 736, 866, 693, 263 is 1
GCD(736, 866, 693, 263) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 736, 866, 693, 263 is 1
GCD(736, 866, 693, 263) = 1
Given Input numbers are 736, 866, 693, 263
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 866
List of positive integer divisors of 866 that divides 866 without a remainder.
1, 2, 433, 866
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Greatest Common Divisior
We found the divisors of 736, 866, 693, 263 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 866, 693, 263 is 1.
Therefore, GCD of numbers 736, 866, 693, 263 is 1
Given Input Data is 736, 866, 693, 263
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 866 is 2 x 433
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 263 is 263
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, 866) = 318688
GCD(736, 866) = ( 736 x 866 ) / 318688
GCD(736, 866) = 637376 / 318688
GCD(736, 866) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 693
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 693) = 1386
GCD(2, 693) = ( 2 x 693 ) / 1386
GCD(2, 693) = 1386 / 1386
GCD(2, 693) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 263
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 263) = 263
GCD(1, 263) = ( 1 x 263 ) / 263
GCD(1, 263) = 263 / 263
GCD(1, 263) = 1
GCD of 736, 866, 693, 263 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 736, 866, 693, 263?
GCD of 736, 866, 693, 263 is 1
2. Where do I get the detailed procedure to find GCD of 736, 866, 693, 263?
You can find a detailed procedure to find GCD of 736, 866, 693, 263 on our page.
3. How to find GCD of 736, 866, 693, 263 on a calculator?
You can find the GCD of 736, 866, 693, 263 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.