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 124, 478, 552, 789 i.e. 1 largest integer that divides all the numbers equally.
GCD of 124, 478, 552, 789 is 1
GCD(124, 478, 552, 789) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 124, 478, 552, 789 is 1
GCD(124, 478, 552, 789) = 1
Given Input numbers are 124, 478, 552, 789
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Greatest Common Divisior
We found the divisors of 124, 478, 552, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 478, 552, 789 is 1.
Therefore, GCD of numbers 124, 478, 552, 789 is 1
Given Input Data is 124, 478, 552, 789
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 124 is 2 x 2 x 31
Prime Factorization of 478 is 2 x 239
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 789 is 3 x 263
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(124, 478) = 29636
GCD(124, 478) = ( 124 x 478 ) / 29636
GCD(124, 478) = 59272 / 29636
GCD(124, 478) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 552
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 552) = 552
GCD(2, 552) = ( 2 x 552 ) / 552
GCD(2, 552) = 1104 / 552
GCD(2, 552) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 789) = 1578
GCD(2, 789) = ( 2 x 789 ) / 1578
GCD(2, 789) = 1578 / 1578
GCD(2, 789) = 1
GCD of 124, 478, 552, 789 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 124, 478, 552, 789?
GCD of 124, 478, 552, 789 is 1
2. Where do I get the detailed procedure to find GCD of 124, 478, 552, 789?
You can find a detailed procedure to find GCD of 124, 478, 552, 789 on our page.
3. How to find GCD of 124, 478, 552, 789 on a calculator?
You can find the GCD of 124, 478, 552, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.