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 491, 651, 540, 752 i.e. 1 largest integer that divides all the numbers equally.
GCD of 491, 651, 540, 752 is 1
GCD(491, 651, 540, 752) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 491, 651, 540, 752 is 1
GCD(491, 651, 540, 752) = 1
Given Input numbers are 491, 651, 540, 752
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Divisors of 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Greatest Common Divisior
We found the divisors of 491, 651, 540, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 651, 540, 752 is 1.
Therefore, GCD of numbers 491, 651, 540, 752 is 1
Given Input Data is 491, 651, 540, 752
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 491 is 491
Prime Factorization of 651 is 3 x 7 x 31
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
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(491, 651) = 319641
GCD(491, 651) = ( 491 x 651 ) / 319641
GCD(491, 651) = 319641 / 319641
GCD(491, 651) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 540
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 540) = 540
GCD(1, 540) = ( 1 x 540 ) / 540
GCD(1, 540) = 540 / 540
GCD(1, 540) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 752
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 752) = 752
GCD(1, 752) = ( 1 x 752 ) / 752
GCD(1, 752) = 752 / 752
GCD(1, 752) = 1
GCD of 491, 651, 540, 752 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 491, 651, 540, 752?
GCD of 491, 651, 540, 752 is 1
2. Where do I get the detailed procedure to find GCD of 491, 651, 540, 752?
You can find a detailed procedure to find GCD of 491, 651, 540, 752 on our page.
3. How to find GCD of 491, 651, 540, 752 on a calculator?
You can find the GCD of 491, 651, 540, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.