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 487, 754, 572, 253 i.e. 1 largest integer that divides all the numbers equally.
GCD of 487, 754, 572, 253 is 1
GCD(487, 754, 572, 253) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 487, 754, 572, 253 is 1
GCD(487, 754, 572, 253) = 1
Given Input numbers are 487, 754, 572, 253
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Greatest Common Divisior
We found the divisors of 487, 754, 572, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 487, 754, 572, 253 is 1.
Therefore, GCD of numbers 487, 754, 572, 253 is 1
Given Input Data is 487, 754, 572, 253
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 487 is 487
Prime Factorization of 754 is 2 x 13 x 29
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 253 is 11 x 23
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(487, 754) = 367198
GCD(487, 754) = ( 487 x 754 ) / 367198
GCD(487, 754) = 367198 / 367198
GCD(487, 754) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 572
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 572) = 572
GCD(1, 572) = ( 1 x 572 ) / 572
GCD(1, 572) = 572 / 572
GCD(1, 572) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 253
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 253) = 253
GCD(1, 253) = ( 1 x 253 ) / 253
GCD(1, 253) = 253 / 253
GCD(1, 253) = 1
GCD of 487, 754, 572, 253 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 487, 754, 572, 253?
GCD of 487, 754, 572, 253 is 1
2. Where do I get the detailed procedure to find GCD of 487, 754, 572, 253?
You can find a detailed procedure to find GCD of 487, 754, 572, 253 on our page.
3. How to find GCD of 487, 754, 572, 253 on a calculator?
You can find the GCD of 487, 754, 572, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.