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 424, 772, 688, 109 i.e. 1 largest integer that divides all the numbers equally.
GCD of 424, 772, 688, 109 is 1
GCD(424, 772, 688, 109) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 424, 772, 688, 109 is 1
GCD(424, 772, 688, 109) = 1
Given Input numbers are 424, 772, 688, 109
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Greatest Common Divisior
We found the divisors of 424, 772, 688, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 772, 688, 109 is 1.
Therefore, GCD of numbers 424, 772, 688, 109 is 1
Given Input Data is 424, 772, 688, 109
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 109 is 109
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(424, 772) = 81832
GCD(424, 772) = ( 424 x 772 ) / 81832
GCD(424, 772) = 327328 / 81832
GCD(424, 772) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 688
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 688) = 688
GCD(4, 688) = ( 4 x 688 ) / 688
GCD(4, 688) = 2752 / 688
GCD(4, 688) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 109) = 436
GCD(4, 109) = ( 4 x 109 ) / 436
GCD(4, 109) = 436 / 436
GCD(4, 109) = 1
GCD of 424, 772, 688, 109 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 424, 772, 688, 109?
GCD of 424, 772, 688, 109 is 1
2. Where do I get the detailed procedure to find GCD of 424, 772, 688, 109?
You can find a detailed procedure to find GCD of 424, 772, 688, 109 on our page.
3. How to find GCD of 424, 772, 688, 109 on a calculator?
You can find the GCD of 424, 772, 688, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.