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 823, 654, 79, 474 i.e. 1 largest integer that divides all the numbers equally.
GCD of 823, 654, 79, 474 is 1
GCD(823, 654, 79, 474) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 823, 654, 79, 474 is 1
GCD(823, 654, 79, 474) = 1
Given Input numbers are 823, 654, 79, 474
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Greatest Common Divisior
We found the divisors of 823, 654, 79, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 654, 79, 474 is 1.
Therefore, GCD of numbers 823, 654, 79, 474 is 1
Given Input Data is 823, 654, 79, 474
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 823 is 823
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 79 is 79
Prime Factorization of 474 is 2 x 3 x 79
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(823, 654) = 538242
GCD(823, 654) = ( 823 x 654 ) / 538242
GCD(823, 654) = 538242 / 538242
GCD(823, 654) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 79) = 79
GCD(1, 79) = ( 1 x 79 ) / 79
GCD(1, 79) = 79 / 79
GCD(1, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 474
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 474) = 474
GCD(1, 474) = ( 1 x 474 ) / 474
GCD(1, 474) = 474 / 474
GCD(1, 474) = 1
GCD of 823, 654, 79, 474 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 823, 654, 79, 474?
GCD of 823, 654, 79, 474 is 1
2. Where do I get the detailed procedure to find GCD of 823, 654, 79, 474?
You can find a detailed procedure to find GCD of 823, 654, 79, 474 on our page.
3. How to find GCD of 823, 654, 79, 474 on a calculator?
You can find the GCD of 823, 654, 79, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.