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 525, 155, 738, 243 i.e. 1 largest integer that divides all the numbers equally.
GCD of 525, 155, 738, 243 is 1
GCD(525, 155, 738, 243) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 525, 155, 738, 243 is 1
GCD(525, 155, 738, 243) = 1
Given Input numbers are 525, 155, 738, 243
To find the GCD of numbers using factoring list out all the divisors of each number
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 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Greatest Common Divisior
We found the divisors of 525, 155, 738, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 155, 738, 243 is 1.
Therefore, GCD of numbers 525, 155, 738, 243 is 1
Given Input Data is 525, 155, 738, 243
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 525 is 3 x 5 x 5 x 7
Prime Factorization of 155 is 5 x 31
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
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(525, 155) = 16275
GCD(525, 155) = ( 525 x 155 ) / 16275
GCD(525, 155) = 81375 / 16275
GCD(525, 155) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 738
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 738) = 3690
GCD(5, 738) = ( 5 x 738 ) / 3690
GCD(5, 738) = 3690 / 3690
GCD(5, 738) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 243) = 243
GCD(1, 243) = ( 1 x 243 ) / 243
GCD(1, 243) = 243 / 243
GCD(1, 243) = 1
GCD of 525, 155, 738, 243 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 525, 155, 738, 243?
GCD of 525, 155, 738, 243 is 1
2. Where do I get the detailed procedure to find GCD of 525, 155, 738, 243?
You can find a detailed procedure to find GCD of 525, 155, 738, 243 on our page.
3. How to find GCD of 525, 155, 738, 243 on a calculator?
You can find the GCD of 525, 155, 738, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.