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 742, 896, 36, 905 i.e. 1 largest integer that divides all the numbers equally.
GCD of 742, 896, 36, 905 is 1
GCD(742, 896, 36, 905) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 742, 896, 36, 905 is 1
GCD(742, 896, 36, 905) = 1
Given Input numbers are 742, 896, 36, 905
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 905
List of positive integer divisors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Greatest Common Divisior
We found the divisors of 742, 896, 36, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 896, 36, 905 is 1.
Therefore, GCD of numbers 742, 896, 36, 905 is 1
Given Input Data is 742, 896, 36, 905
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 905 is 5 x 181
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(742, 896) = 47488
GCD(742, 896) = ( 742 x 896 ) / 47488
GCD(742, 896) = 664832 / 47488
GCD(742, 896) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 36) = 252
GCD(14, 36) = ( 14 x 36 ) / 252
GCD(14, 36) = 504 / 252
GCD(14, 36) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 905
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 905) = 1810
GCD(2, 905) = ( 2 x 905 ) / 1810
GCD(2, 905) = 1810 / 1810
GCD(2, 905) = 1
GCD of 742, 896, 36, 905 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 742, 896, 36, 905?
GCD of 742, 896, 36, 905 is 1
2. Where do I get the detailed procedure to find GCD of 742, 896, 36, 905?
You can find a detailed procedure to find GCD of 742, 896, 36, 905 on our page.
3. How to find GCD of 742, 896, 36, 905 on a calculator?
You can find the GCD of 742, 896, 36, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.