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, 759, 611, 840 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 759, 611, 840 is 1
GCD(501, 759, 611, 840) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 759, 611, 840 is 1
GCD(501, 759, 611, 840) = 1
Given Input numbers are 501, 759, 611, 840
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 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 611
List of positive integer divisors of 611 that divides 611 without a remainder.
1, 13, 47, 611
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Greatest Common Divisior
We found the divisors of 501, 759, 611, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 759, 611, 840 is 1.
Therefore, GCD of numbers 501, 759, 611, 840 is 1
Given Input Data is 501, 759, 611, 840
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 611 is 13 x 47
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 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(501, 759) = 126753
GCD(501, 759) = ( 501 x 759 ) / 126753
GCD(501, 759) = 380259 / 126753
GCD(501, 759) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 611
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 611) = 1833
GCD(3, 611) = ( 3 x 611 ) / 1833
GCD(3, 611) = 1833 / 1833
GCD(3, 611) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 840
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 840) = 840
GCD(1, 840) = ( 1 x 840 ) / 840
GCD(1, 840) = 840 / 840
GCD(1, 840) = 1
GCD of 501, 759, 611, 840 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 759, 611, 840?
GCD of 501, 759, 611, 840 is 1
2. Where do I get the detailed procedure to find GCD of 501, 759, 611, 840?
You can find a detailed procedure to find GCD of 501, 759, 611, 840 on our page.
3. How to find GCD of 501, 759, 611, 840 on a calculator?
You can find the GCD of 501, 759, 611, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.