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 724, 266, 141, 285 i.e. 1 largest integer that divides all the numbers equally.
GCD of 724, 266, 141, 285 is 1
GCD(724, 266, 141, 285) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 266, 141, 285 is 1
GCD(724, 266, 141, 285) = 1
Given Input numbers are 724, 266, 141, 285
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Greatest Common Divisior
We found the divisors of 724, 266, 141, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 266, 141, 285 is 1.
Therefore, GCD of numbers 724, 266, 141, 285 is 1
Given Input Data is 724, 266, 141, 285
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 266 is 2 x 7 x 19
Prime Factorization of 141 is 3 x 47
Prime Factorization of 285 is 3 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(724, 266) = 96292
GCD(724, 266) = ( 724 x 266 ) / 96292
GCD(724, 266) = 192584 / 96292
GCD(724, 266) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 141
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 141) = 282
GCD(2, 141) = ( 2 x 141 ) / 282
GCD(2, 141) = 282 / 282
GCD(2, 141) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 285
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 285) = 285
GCD(1, 285) = ( 1 x 285 ) / 285
GCD(1, 285) = 285 / 285
GCD(1, 285) = 1
GCD of 724, 266, 141, 285 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 266, 141, 285?
GCD of 724, 266, 141, 285 is 1
2. Where do I get the detailed procedure to find GCD of 724, 266, 141, 285?
You can find a detailed procedure to find GCD of 724, 266, 141, 285 on our page.
3. How to find GCD of 724, 266, 141, 285 on a calculator?
You can find the GCD of 724, 266, 141, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.