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 507, 661, 453, 731 i.e. 1 largest integer that divides all the numbers equally.
GCD of 507, 661, 453, 731 is 1
GCD(507, 661, 453, 731) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 507, 661, 453, 731 is 1
GCD(507, 661, 453, 731) = 1
Given Input numbers are 507, 661, 453, 731
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 661
List of positive integer divisors of 661 that divides 661 without a remainder.
1, 661
Divisors of 453
List of positive integer divisors of 453 that divides 453 without a remainder.
1, 3, 151, 453
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Greatest Common Divisior
We found the divisors of 507, 661, 453, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 661, 453, 731 is 1.
Therefore, GCD of numbers 507, 661, 453, 731 is 1
Given Input Data is 507, 661, 453, 731
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 661 is 661
Prime Factorization of 453 is 3 x 151
Prime Factorization of 731 is 17 x 43
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(507, 661) = 335127
GCD(507, 661) = ( 507 x 661 ) / 335127
GCD(507, 661) = 335127 / 335127
GCD(507, 661) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 453
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 453) = 453
GCD(1, 453) = ( 1 x 453 ) / 453
GCD(1, 453) = 453 / 453
GCD(1, 453) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 731) = 731
GCD(1, 731) = ( 1 x 731 ) / 731
GCD(1, 731) = 731 / 731
GCD(1, 731) = 1
GCD of 507, 661, 453, 731 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 507, 661, 453, 731?
GCD of 507, 661, 453, 731 is 1
2. Where do I get the detailed procedure to find GCD of 507, 661, 453, 731?
You can find a detailed procedure to find GCD of 507, 661, 453, 731 on our page.
3. How to find GCD of 507, 661, 453, 731 on a calculator?
You can find the GCD of 507, 661, 453, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.