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 269, 106, 624, 688 i.e. 1 largest integer that divides all the numbers equally.
GCD of 269, 106, 624, 688 is 1
GCD(269, 106, 624, 688) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 269, 106, 624, 688 is 1
GCD(269, 106, 624, 688) = 1
Given Input numbers are 269, 106, 624, 688
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
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
Greatest Common Divisior
We found the divisors of 269, 106, 624, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 106, 624, 688 is 1.
Therefore, GCD of numbers 269, 106, 624, 688 is 1
Given Input Data is 269, 106, 624, 688
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 269 is 269
Prime Factorization of 106 is 2 x 53
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
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(269, 106) = 28514
GCD(269, 106) = ( 269 x 106 ) / 28514
GCD(269, 106) = 28514 / 28514
GCD(269, 106) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 624
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 624) = 624
GCD(1, 624) = ( 1 x 624 ) / 624
GCD(1, 624) = 624 / 624
GCD(1, 624) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 688
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 688) = 688
GCD(1, 688) = ( 1 x 688 ) / 688
GCD(1, 688) = 688 / 688
GCD(1, 688) = 1
GCD of 269, 106, 624, 688 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 269, 106, 624, 688?
GCD of 269, 106, 624, 688 is 1
2. Where do I get the detailed procedure to find GCD of 269, 106, 624, 688?
You can find a detailed procedure to find GCD of 269, 106, 624, 688 on our page.
3. How to find GCD of 269, 106, 624, 688 on a calculator?
You can find the GCD of 269, 106, 624, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.