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 11, 143, 736, 525 i.e. 1 largest integer that divides all the numbers equally.
GCD of 11, 143, 736, 525 is 1
GCD(11, 143, 736, 525) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 11, 143, 736, 525 is 1
GCD(11, 143, 736, 525) = 1
Given Input numbers are 11, 143, 736, 525
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
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
Greatest Common Divisior
We found the divisors of 11, 143, 736, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 143, 736, 525 is 1.
Therefore, GCD of numbers 11, 143, 736, 525 is 1
Given Input Data is 11, 143, 736, 525
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 11 is 11
Prime Factorization of 143 is 11 x 13
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 525 is 3 x 5 x 5 x 7
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(11, 143) = 143
GCD(11, 143) = ( 11 x 143 ) / 143
GCD(11, 143) = 1573 / 143
GCD(11, 143) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 736
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 736) = 8096
GCD(11, 736) = ( 11 x 736 ) / 8096
GCD(11, 736) = 8096 / 8096
GCD(11, 736) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 525
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 525) = 525
GCD(1, 525) = ( 1 x 525 ) / 525
GCD(1, 525) = 525 / 525
GCD(1, 525) = 1
GCD of 11, 143, 736, 525 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 11, 143, 736, 525?
GCD of 11, 143, 736, 525 is 1
2. Where do I get the detailed procedure to find GCD of 11, 143, 736, 525?
You can find a detailed procedure to find GCD of 11, 143, 736, 525 on our page.
3. How to find GCD of 11, 143, 736, 525 on a calculator?
You can find the GCD of 11, 143, 736, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.