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 828, 357, 127, 803 i.e. 1 largest integer that divides all the numbers equally.
GCD of 828, 357, 127, 803 is 1
GCD(828, 357, 127, 803) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 828, 357, 127, 803 is 1
GCD(828, 357, 127, 803) = 1
Given Input numbers are 828, 357, 127, 803
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 127
List of positive integer divisors of 127 that divides 127 without a remainder.
1, 127
Divisors of 803
List of positive integer divisors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Greatest Common Divisior
We found the divisors of 828, 357, 127, 803 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 357, 127, 803 is 1.
Therefore, GCD of numbers 828, 357, 127, 803 is 1
Given Input Data is 828, 357, 127, 803
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 127 is 127
Prime Factorization of 803 is 11 x 73
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(828, 357) = 98532
GCD(828, 357) = ( 828 x 357 ) / 98532
GCD(828, 357) = 295596 / 98532
GCD(828, 357) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 127
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 127) = 381
GCD(3, 127) = ( 3 x 127 ) / 381
GCD(3, 127) = 381 / 381
GCD(3, 127) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 803
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 803) = 803
GCD(1, 803) = ( 1 x 803 ) / 803
GCD(1, 803) = 803 / 803
GCD(1, 803) = 1
GCD of 828, 357, 127, 803 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 828, 357, 127, 803?
GCD of 828, 357, 127, 803 is 1
2. Where do I get the detailed procedure to find GCD of 828, 357, 127, 803?
You can find a detailed procedure to find GCD of 828, 357, 127, 803 on our page.
3. How to find GCD of 828, 357, 127, 803 on a calculator?
You can find the GCD of 828, 357, 127, 803 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.