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 365, 691, 412, 896 i.e. 1 largest integer that divides all the numbers equally.
GCD of 365, 691, 412, 896 is 1
GCD(365, 691, 412, 896) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 365, 691, 412, 896 is 1
GCD(365, 691, 412, 896) = 1
Given Input numbers are 365, 691, 412, 896
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
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
Greatest Common Divisior
We found the divisors of 365, 691, 412, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 691, 412, 896 is 1.
Therefore, GCD of numbers 365, 691, 412, 896 is 1
Given Input Data is 365, 691, 412, 896
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 365 is 5 x 73
Prime Factorization of 691 is 691
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
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(365, 691) = 252215
GCD(365, 691) = ( 365 x 691 ) / 252215
GCD(365, 691) = 252215 / 252215
GCD(365, 691) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 412
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 412) = 412
GCD(1, 412) = ( 1 x 412 ) / 412
GCD(1, 412) = 412 / 412
GCD(1, 412) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 896
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 896) = 896
GCD(1, 896) = ( 1 x 896 ) / 896
GCD(1, 896) = 896 / 896
GCD(1, 896) = 1
GCD of 365, 691, 412, 896 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 365, 691, 412, 896?
GCD of 365, 691, 412, 896 is 1
2. Where do I get the detailed procedure to find GCD of 365, 691, 412, 896?
You can find a detailed procedure to find GCD of 365, 691, 412, 896 on our page.
3. How to find GCD of 365, 691, 412, 896 on a calculator?
You can find the GCD of 365, 691, 412, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.