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 913, 592, 896, 425 i.e. 1 largest integer that divides all the numbers equally.
GCD of 913, 592, 896, 425 is 1
GCD(913, 592, 896, 425) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 913, 592, 896, 425 is 1
GCD(913, 592, 896, 425) = 1
Given Input numbers are 913, 592, 896, 425
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 592
List of positive integer divisors of 592 that divides 592 without a remainder.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
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 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Greatest Common Divisior
We found the divisors of 913, 592, 896, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 913, 592, 896, 425 is 1.
Therefore, GCD of numbers 913, 592, 896, 425 is 1
Given Input Data is 913, 592, 896, 425
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 913 is 11 x 83
Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 425 is 5 x 5 x 17
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(913, 592) = 540496
GCD(913, 592) = ( 913 x 592 ) / 540496
GCD(913, 592) = 540496 / 540496
GCD(913, 592) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 425
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 425) = 425
GCD(1, 425) = ( 1 x 425 ) / 425
GCD(1, 425) = 425 / 425
GCD(1, 425) = 1
GCD of 913, 592, 896, 425 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 913, 592, 896, 425?
GCD of 913, 592, 896, 425 is 1
2. Where do I get the detailed procedure to find GCD of 913, 592, 896, 425?
You can find a detailed procedure to find GCD of 913, 592, 896, 425 on our page.
3. How to find GCD of 913, 592, 896, 425 on a calculator?
You can find the GCD of 913, 592, 896, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.