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 542, 527, 724, 315 i.e. 1 largest integer that divides all the numbers equally.
GCD of 542, 527, 724, 315 is 1
GCD(542, 527, 724, 315) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 542, 527, 724, 315 is 1
GCD(542, 527, 724, 315) = 1
Given Input numbers are 542, 527, 724, 315
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Divisors of 527
List of positive integer divisors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Greatest Common Divisior
We found the divisors of 542, 527, 724, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 527, 724, 315 is 1.
Therefore, GCD of numbers 542, 527, 724, 315 is 1
Given Input Data is 542, 527, 724, 315
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 542 is 2 x 271
Prime Factorization of 527 is 17 x 31
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 315 is 3 x 3 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(542, 527) = 285634
GCD(542, 527) = ( 542 x 527 ) / 285634
GCD(542, 527) = 285634 / 285634
GCD(542, 527) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 724
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
GCD(1, 724) = 724 / 724
GCD(1, 724) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 315
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 315) = 315
GCD(1, 315) = ( 1 x 315 ) / 315
GCD(1, 315) = 315 / 315
GCD(1, 315) = 1
GCD of 542, 527, 724, 315 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 542, 527, 724, 315?
GCD of 542, 527, 724, 315 is 1
2. Where do I get the detailed procedure to find GCD of 542, 527, 724, 315?
You can find a detailed procedure to find GCD of 542, 527, 724, 315 on our page.
3. How to find GCD of 542, 527, 724, 315 on a calculator?
You can find the GCD of 542, 527, 724, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.