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 146, 525, 493, 851 i.e. 1 largest integer that divides all the numbers equally.
GCD of 146, 525, 493, 851 is 1
GCD(146, 525, 493, 851) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 146, 525, 493, 851 is 1
GCD(146, 525, 493, 851) = 1
Given Input numbers are 146, 525, 493, 851
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 525
List of positive integer divisors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Divisors of 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Greatest Common Divisior
We found the divisors of 146, 525, 493, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 525, 493, 851 is 1.
Therefore, GCD of numbers 146, 525, 493, 851 is 1
Given Input Data is 146, 525, 493, 851
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 146 is 2 x 73
Prime Factorization of 525 is 3 x 5 x 5 x 7
Prime Factorization of 493 is 17 x 29
Prime Factorization of 851 is 23 x 37
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(146, 525) = 76650
GCD(146, 525) = ( 146 x 525 ) / 76650
GCD(146, 525) = 76650 / 76650
GCD(146, 525) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 493
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 493) = 493
GCD(1, 493) = ( 1 x 493 ) / 493
GCD(1, 493) = 493 / 493
GCD(1, 493) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 851
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 851) = 851
GCD(1, 851) = ( 1 x 851 ) / 851
GCD(1, 851) = 851 / 851
GCD(1, 851) = 1
GCD of 146, 525, 493, 851 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 146, 525, 493, 851?
GCD of 146, 525, 493, 851 is 1
2. Where do I get the detailed procedure to find GCD of 146, 525, 493, 851?
You can find a detailed procedure to find GCD of 146, 525, 493, 851 on our page.
3. How to find GCD of 146, 525, 493, 851 on a calculator?
You can find the GCD of 146, 525, 493, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.