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 75, 592, 426, 706 i.e. 1 largest integer that divides all the numbers equally.
GCD of 75, 592, 426, 706 is 1
GCD(75, 592, 426, 706) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 75, 592, 426, 706 is 1
GCD(75, 592, 426, 706) = 1
Given Input numbers are 75, 592, 426, 706
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 592
List of positive integer divisors of 592 that divides 592 without a remainder.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Greatest Common Divisior
We found the divisors of 75, 592, 426, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 592, 426, 706 is 1.
Therefore, GCD of numbers 75, 592, 426, 706 is 1
Given Input Data is 75, 592, 426, 706
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 706 is 2 x 353
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(75, 592) = 44400
GCD(75, 592) = ( 75 x 592 ) / 44400
GCD(75, 592) = 44400 / 44400
GCD(75, 592) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 426
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 426) = 426
GCD(1, 426) = ( 1 x 426 ) / 426
GCD(1, 426) = 426 / 426
GCD(1, 426) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 706
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 706) = 706
GCD(1, 706) = ( 1 x 706 ) / 706
GCD(1, 706) = 706 / 706
GCD(1, 706) = 1
GCD of 75, 592, 426, 706 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 75, 592, 426, 706?
GCD of 75, 592, 426, 706 is 1
2. Where do I get the detailed procedure to find GCD of 75, 592, 426, 706?
You can find a detailed procedure to find GCD of 75, 592, 426, 706 on our page.
3. How to find GCD of 75, 592, 426, 706 on a calculator?
You can find the GCD of 75, 592, 426, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.