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 826, 435, 264, 828 i.e. 1 largest integer that divides all the numbers equally.
GCD of 826, 435, 264, 828 is 1
GCD(826, 435, 264, 828) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 826, 435, 264, 828 is 1
GCD(826, 435, 264, 828) = 1
Given Input numbers are 826, 435, 264, 828
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Greatest Common Divisior
We found the divisors of 826, 435, 264, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 435, 264, 828 is 1.
Therefore, GCD of numbers 826, 435, 264, 828 is 1
Given Input Data is 826, 435, 264, 828
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 826 is 2 x 7 x 59
Prime Factorization of 435 is 3 x 5 x 29
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
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(826, 435) = 359310
GCD(826, 435) = ( 826 x 435 ) / 359310
GCD(826, 435) = 359310 / 359310
GCD(826, 435) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 264
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
GCD(1, 264) = 264 / 264
GCD(1, 264) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 828
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 828) = 828
GCD(1, 828) = ( 1 x 828 ) / 828
GCD(1, 828) = 828 / 828
GCD(1, 828) = 1
GCD of 826, 435, 264, 828 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 826, 435, 264, 828?
GCD of 826, 435, 264, 828 is 1
2. Where do I get the detailed procedure to find GCD of 826, 435, 264, 828?
You can find a detailed procedure to find GCD of 826, 435, 264, 828 on our page.
3. How to find GCD of 826, 435, 264, 828 on a calculator?
You can find the GCD of 826, 435, 264, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.