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, 867, 973, 356 i.e. 1 largest integer that divides all the numbers equally.
GCD of 736, 867, 973, 356 is 1
GCD(736, 867, 973, 356) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 736, 867, 973, 356 is 1
GCD(736, 867, 973, 356) = 1
Given Input numbers are 736, 867, 973, 356
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 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Greatest Common Divisior
We found the divisors of 736, 867, 973, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 867, 973, 356 is 1.
Therefore, GCD of numbers 736, 867, 973, 356 is 1
Given Input Data is 736, 867, 973, 356
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 867 is 3 x 17 x 17
Prime Factorization of 973 is 7 x 139
Prime Factorization of 356 is 2 x 2 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(736, 867) = 638112
GCD(736, 867) = ( 736 x 867 ) / 638112
GCD(736, 867) = 638112 / 638112
GCD(736, 867) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 973
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 973) = 973
GCD(1, 973) = ( 1 x 973 ) / 973
GCD(1, 973) = 973 / 973
GCD(1, 973) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 356
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 356) = 356
GCD(1, 356) = ( 1 x 356 ) / 356
GCD(1, 356) = 356 / 356
GCD(1, 356) = 1
GCD of 736, 867, 973, 356 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 736, 867, 973, 356?
GCD of 736, 867, 973, 356 is 1
2. Where do I get the detailed procedure to find GCD of 736, 867, 973, 356?
You can find a detailed procedure to find GCD of 736, 867, 973, 356 on our page.
3. How to find GCD of 736, 867, 973, 356 on a calculator?
You can find the GCD of 736, 867, 973, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.