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 736, 491, 67, 504 i.e. 1 largest integer that divides all the numbers equally.
GCD of 736, 491, 67, 504 is 1
GCD(736, 491, 67, 504) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 736, 491, 67, 504 is 1
GCD(736, 491, 67, 504) = 1
Given Input numbers are 736, 491, 67, 504
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Greatest Common Divisior
We found the divisors of 736, 491, 67, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 491, 67, 504 is 1.
Therefore, GCD of numbers 736, 491, 67, 504 is 1
Given Input Data is 736, 491, 67, 504
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 491 is 491
Prime Factorization of 67 is 67
Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 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(736, 491) = 361376
GCD(736, 491) = ( 736 x 491 ) / 361376
GCD(736, 491) = 361376 / 361376
GCD(736, 491) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 504
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 504) = 504
GCD(1, 504) = ( 1 x 504 ) / 504
GCD(1, 504) = 504 / 504
GCD(1, 504) = 1
GCD of 736, 491, 67, 504 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 736, 491, 67, 504?
GCD of 736, 491, 67, 504 is 1
2. Where do I get the detailed procedure to find GCD of 736, 491, 67, 504?
You can find a detailed procedure to find GCD of 736, 491, 67, 504 on our page.
3. How to find GCD of 736, 491, 67, 504 on a calculator?
You can find the GCD of 736, 491, 67, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.