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 852, 124, 21, 496 i.e. 1 largest integer that divides all the numbers equally.
GCD of 852, 124, 21, 496 is 1
GCD(852, 124, 21, 496) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 852, 124, 21, 496 is 1
GCD(852, 124, 21, 496) = 1
Given Input numbers are 852, 124, 21, 496
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Greatest Common Divisior
We found the divisors of 852, 124, 21, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 124, 21, 496 is 1.
Therefore, GCD of numbers 852, 124, 21, 496 is 1
Given Input Data is 852, 124, 21, 496
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 124 is 2 x 2 x 31
Prime Factorization of 21 is 3 x 7
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
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(852, 124) = 26412
GCD(852, 124) = ( 852 x 124 ) / 26412
GCD(852, 124) = 105648 / 26412
GCD(852, 124) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 21) = 84
GCD(4, 21) = ( 4 x 21 ) / 84
GCD(4, 21) = 84 / 84
GCD(4, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 496
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 496) = 496
GCD(1, 496) = ( 1 x 496 ) / 496
GCD(1, 496) = 496 / 496
GCD(1, 496) = 1
GCD of 852, 124, 21, 496 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 852, 124, 21, 496?
GCD of 852, 124, 21, 496 is 1
2. Where do I get the detailed procedure to find GCD of 852, 124, 21, 496?
You can find a detailed procedure to find GCD of 852, 124, 21, 496 on our page.
3. How to find GCD of 852, 124, 21, 496 on a calculator?
You can find the GCD of 852, 124, 21, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.