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 190, 525, 72, 812 i.e. 1 largest integer that divides all the numbers equally.
GCD of 190, 525, 72, 812 is 1
GCD(190, 525, 72, 812) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 190, 525, 72, 812 is 1
GCD(190, 525, 72, 812) = 1
Given Input numbers are 190, 525, 72, 812
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
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 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Greatest Common Divisior
We found the divisors of 190, 525, 72, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 190, 525, 72, 812 is 1.
Therefore, GCD of numbers 190, 525, 72, 812 is 1
Given Input Data is 190, 525, 72, 812
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 190 is 2 x 5 x 19
Prime Factorization of 525 is 3 x 5 x 5 x 7
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 812 is 2 x 2 x 7 x 29
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(190, 525) = 19950
GCD(190, 525) = ( 190 x 525 ) / 19950
GCD(190, 525) = 99750 / 19950
GCD(190, 525) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 72) = 360
GCD(5, 72) = ( 5 x 72 ) / 360
GCD(5, 72) = 360 / 360
GCD(5, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 812
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 812) = 812
GCD(1, 812) = ( 1 x 812 ) / 812
GCD(1, 812) = 812 / 812
GCD(1, 812) = 1
GCD of 190, 525, 72, 812 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 190, 525, 72, 812?
GCD of 190, 525, 72, 812 is 1
2. Where do I get the detailed procedure to find GCD of 190, 525, 72, 812?
You can find a detailed procedure to find GCD of 190, 525, 72, 812 on our page.
3. How to find GCD of 190, 525, 72, 812 on a calculator?
You can find the GCD of 190, 525, 72, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.