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, 336, 55, 689 i.e. 1 largest integer that divides all the numbers equally.
GCD of 124, 336, 55, 689 is 1
GCD(124, 336, 55, 689) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 124, 336, 55, 689 is 1
GCD(124, 336, 55, 689) = 1
Given Input numbers are 124, 336, 55, 689
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 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Greatest Common Divisior
We found the divisors of 124, 336, 55, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 336, 55, 689 is 1.
Therefore, GCD of numbers 124, 336, 55, 689 is 1
Given Input Data is 124, 336, 55, 689
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 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 55 is 5 x 11
Prime Factorization of 689 is 13 x 53
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, 336) = 10416
GCD(124, 336) = ( 124 x 336 ) / 10416
GCD(124, 336) = 41664 / 10416
GCD(124, 336) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 55) = 220
GCD(4, 55) = ( 4 x 55 ) / 220
GCD(4, 55) = 220 / 220
GCD(4, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 689
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
GCD(1, 689) = 689 / 689
GCD(1, 689) = 1
GCD of 124, 336, 55, 689 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 124, 336, 55, 689?
GCD of 124, 336, 55, 689 is 1
2. Where do I get the detailed procedure to find GCD of 124, 336, 55, 689?
You can find a detailed procedure to find GCD of 124, 336, 55, 689 on our page.
3. How to find GCD of 124, 336, 55, 689 on a calculator?
You can find the GCD of 124, 336, 55, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.