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 128, 122, 559, 707 i.e. 1 largest integer that divides all the numbers equally.
GCD of 128, 122, 559, 707 is 1
GCD(128, 122, 559, 707) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 128, 122, 559, 707 is 1
GCD(128, 122, 559, 707) = 1
Given Input numbers are 128, 122, 559, 707
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 559
List of positive integer divisors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Greatest Common Divisior
We found the divisors of 128, 122, 559, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 122, 559, 707 is 1.
Therefore, GCD of numbers 128, 122, 559, 707 is 1
Given Input Data is 128, 122, 559, 707
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 122 is 2 x 61
Prime Factorization of 559 is 13 x 43
Prime Factorization of 707 is 7 x 101
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(128, 122) = 7808
GCD(128, 122) = ( 128 x 122 ) / 7808
GCD(128, 122) = 15616 / 7808
GCD(128, 122) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 559
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 559) = 1118
GCD(2, 559) = ( 2 x 559 ) / 1118
GCD(2, 559) = 1118 / 1118
GCD(2, 559) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
GCD(1, 707) = 707 / 707
GCD(1, 707) = 1
GCD of 128, 122, 559, 707 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 128, 122, 559, 707?
GCD of 128, 122, 559, 707 is 1
2. Where do I get the detailed procedure to find GCD of 128, 122, 559, 707?
You can find a detailed procedure to find GCD of 128, 122, 559, 707 on our page.
3. How to find GCD of 128, 122, 559, 707 on a calculator?
You can find the GCD of 128, 122, 559, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.