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 832, 325, 240, 778 i.e. 1 largest integer that divides all the numbers equally.
GCD of 832, 325, 240, 778 is 1
GCD(832, 325, 240, 778) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 832, 325, 240, 778 is 1
GCD(832, 325, 240, 778) = 1
Given Input numbers are 832, 325, 240, 778
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Greatest Common Divisior
We found the divisors of 832, 325, 240, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 325, 240, 778 is 1.
Therefore, GCD of numbers 832, 325, 240, 778 is 1
Given Input Data is 832, 325, 240, 778
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 325 is 5 x 5 x 13
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 778 is 2 x 389
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(832, 325) = 20800
GCD(832, 325) = ( 832 x 325 ) / 20800
GCD(832, 325) = 270400 / 20800
GCD(832, 325) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 240) = 3120
GCD(13, 240) = ( 13 x 240 ) / 3120
GCD(13, 240) = 3120 / 3120
GCD(13, 240) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 778
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 778) = 778
GCD(1, 778) = ( 1 x 778 ) / 778
GCD(1, 778) = 778 / 778
GCD(1, 778) = 1
GCD of 832, 325, 240, 778 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 832, 325, 240, 778?
GCD of 832, 325, 240, 778 is 1
2. Where do I get the detailed procedure to find GCD of 832, 325, 240, 778?
You can find a detailed procedure to find GCD of 832, 325, 240, 778 on our page.
3. How to find GCD of 832, 325, 240, 778 on a calculator?
You can find the GCD of 832, 325, 240, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.