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 356, 459, 907, 542 i.e. 1 largest integer that divides all the numbers equally.
GCD of 356, 459, 907, 542 is 1
GCD(356, 459, 907, 542) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 356, 459, 907, 542 is 1
GCD(356, 459, 907, 542) = 1
Given Input numbers are 356, 459, 907, 542
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 907
List of positive integer divisors of 907 that divides 907 without a remainder.
1, 907
Divisors of 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Greatest Common Divisior
We found the divisors of 356, 459, 907, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 459, 907, 542 is 1.
Therefore, GCD of numbers 356, 459, 907, 542 is 1
Given Input Data is 356, 459, 907, 542
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 907 is 907
Prime Factorization of 542 is 2 x 271
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(356, 459) = 163404
GCD(356, 459) = ( 356 x 459 ) / 163404
GCD(356, 459) = 163404 / 163404
GCD(356, 459) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 907
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 907) = 907
GCD(1, 907) = ( 1 x 907 ) / 907
GCD(1, 907) = 907 / 907
GCD(1, 907) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 542
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 542) = 542
GCD(1, 542) = ( 1 x 542 ) / 542
GCD(1, 542) = 542 / 542
GCD(1, 542) = 1
GCD of 356, 459, 907, 542 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 356, 459, 907, 542?
GCD of 356, 459, 907, 542 is 1
2. Where do I get the detailed procedure to find GCD of 356, 459, 907, 542?
You can find a detailed procedure to find GCD of 356, 459, 907, 542 on our page.
3. How to find GCD of 356, 459, 907, 542 on a calculator?
You can find the GCD of 356, 459, 907, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.