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 108, 707, 67, 124 i.e. 1 largest integer that divides all the numbers equally.
GCD of 108, 707, 67, 124 is 1
GCD(108, 707, 67, 124) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 108, 707, 67, 124 is 1
GCD(108, 707, 67, 124) = 1
Given Input numbers are 108, 707, 67, 124
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Greatest Common Divisior
We found the divisors of 108, 707, 67, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 707, 67, 124 is 1.
Therefore, GCD of numbers 108, 707, 67, 124 is 1
Given Input Data is 108, 707, 67, 124
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 707 is 7 x 101
Prime Factorization of 67 is 67
Prime Factorization of 124 is 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(108, 707) = 76356
GCD(108, 707) = ( 108 x 707 ) / 76356
GCD(108, 707) = 76356 / 76356
GCD(108, 707) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 124
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 124) = 124
GCD(1, 124) = ( 1 x 124 ) / 124
GCD(1, 124) = 124 / 124
GCD(1, 124) = 1
GCD of 108, 707, 67, 124 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 108, 707, 67, 124?
GCD of 108, 707, 67, 124 is 1
2. Where do I get the detailed procedure to find GCD of 108, 707, 67, 124?
You can find a detailed procedure to find GCD of 108, 707, 67, 124 on our page.
3. How to find GCD of 108, 707, 67, 124 on a calculator?
You can find the GCD of 108, 707, 67, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.