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 825, 926, 88, 784 i.e. 1 largest integer that divides all the numbers equally.
GCD of 825, 926, 88, 784 is 1
GCD(825, 926, 88, 784) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 825, 926, 88, 784 is 1
GCD(825, 926, 88, 784) = 1
Given Input numbers are 825, 926, 88, 784
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Greatest Common Divisior
We found the divisors of 825, 926, 88, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 926, 88, 784 is 1.
Therefore, GCD of numbers 825, 926, 88, 784 is 1
Given Input Data is 825, 926, 88, 784
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 926 is 2 x 463
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 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(825, 926) = 763950
GCD(825, 926) = ( 825 x 926 ) / 763950
GCD(825, 926) = 763950 / 763950
GCD(825, 926) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 88) = 88
GCD(1, 88) = ( 1 x 88 ) / 88
GCD(1, 88) = 88 / 88
GCD(1, 88) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 784
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 784) = 784
GCD(1, 784) = ( 1 x 784 ) / 784
GCD(1, 784) = 784 / 784
GCD(1, 784) = 1
GCD of 825, 926, 88, 784 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 825, 926, 88, 784?
GCD of 825, 926, 88, 784 is 1
2. Where do I get the detailed procedure to find GCD of 825, 926, 88, 784?
You can find a detailed procedure to find GCD of 825, 926, 88, 784 on our page.
3. How to find GCD of 825, 926, 88, 784 on a calculator?
You can find the GCD of 825, 926, 88, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.