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 526, 789, 60, 190 i.e. 1 largest integer that divides all the numbers equally.
GCD of 526, 789, 60, 190 is 1
GCD(526, 789, 60, 190) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 526, 789, 60, 190 is 1
GCD(526, 789, 60, 190) = 1
Given Input numbers are 526, 789, 60, 190
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 526
List of positive integer divisors of 526 that divides 526 without a remainder.
1, 2, 263, 526
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Greatest Common Divisior
We found the divisors of 526, 789, 60, 190 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 526, 789, 60, 190 is 1.
Therefore, GCD of numbers 526, 789, 60, 190 is 1
Given Input Data is 526, 789, 60, 190
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 526 is 2 x 263
Prime Factorization of 789 is 3 x 263
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 190 is 2 x 5 x 19
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(526, 789) = 1578
GCD(526, 789) = ( 526 x 789 ) / 1578
GCD(526, 789) = 415014 / 1578
GCD(526, 789) = 263
Step2:
Here we consider the GCD from the above i.e. 263 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(263, 60) = 15780
GCD(263, 60) = ( 263 x 60 ) / 15780
GCD(263, 60) = 15780 / 15780
GCD(263, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 190
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 190) = 190
GCD(1, 190) = ( 1 x 190 ) / 190
GCD(1, 190) = 190 / 190
GCD(1, 190) = 1
GCD of 526, 789, 60, 190 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 526, 789, 60, 190?
GCD of 526, 789, 60, 190 is 1
2. Where do I get the detailed procedure to find GCD of 526, 789, 60, 190?
You can find a detailed procedure to find GCD of 526, 789, 60, 190 on our page.
3. How to find GCD of 526, 789, 60, 190 on a calculator?
You can find the GCD of 526, 789, 60, 190 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.