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 501, 737, 269, 458 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 737, 269, 458 is 1
GCD(501, 737, 269, 458) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 737, 269, 458 is 1
GCD(501, 737, 269, 458) = 1
Given Input numbers are 501, 737, 269, 458
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 458
List of positive integer divisors of 458 that divides 458 without a remainder.
1, 2, 229, 458
Greatest Common Divisior
We found the divisors of 501, 737, 269, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 737, 269, 458 is 1.
Therefore, GCD of numbers 501, 737, 269, 458 is 1
Given Input Data is 501, 737, 269, 458
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 737 is 11 x 67
Prime Factorization of 269 is 269
Prime Factorization of 458 is 2 x 229
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(501, 737) = 369237
GCD(501, 737) = ( 501 x 737 ) / 369237
GCD(501, 737) = 369237 / 369237
GCD(501, 737) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 269
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 269) = 269
GCD(1, 269) = ( 1 x 269 ) / 269
GCD(1, 269) = 269 / 269
GCD(1, 269) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 458
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 458) = 458
GCD(1, 458) = ( 1 x 458 ) / 458
GCD(1, 458) = 458 / 458
GCD(1, 458) = 1
GCD of 501, 737, 269, 458 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 737, 269, 458?
GCD of 501, 737, 269, 458 is 1
2. Where do I get the detailed procedure to find GCD of 501, 737, 269, 458?
You can find a detailed procedure to find GCD of 501, 737, 269, 458 on our page.
3. How to find GCD of 501, 737, 269, 458 on a calculator?
You can find the GCD of 501, 737, 269, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.