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 77, 730, 751, 509 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 730, 751, 509 is 1
GCD(77, 730, 751, 509) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 730, 751, 509 is 1
GCD(77, 730, 751, 509) = 1
Given Input numbers are 77, 730, 751, 509
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 751
List of positive integer divisors of 751 that divides 751 without a remainder.
1, 751
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Greatest Common Divisior
We found the divisors of 77, 730, 751, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 730, 751, 509 is 1.
Therefore, GCD of numbers 77, 730, 751, 509 is 1
Given Input Data is 77, 730, 751, 509
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 751 is 751
Prime Factorization of 509 is 509
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(77, 730) = 56210
GCD(77, 730) = ( 77 x 730 ) / 56210
GCD(77, 730) = 56210 / 56210
GCD(77, 730) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 751
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 751) = 751
GCD(1, 751) = ( 1 x 751 ) / 751
GCD(1, 751) = 751 / 751
GCD(1, 751) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 509
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 509) = 509
GCD(1, 509) = ( 1 x 509 ) / 509
GCD(1, 509) = 509 / 509
GCD(1, 509) = 1
GCD of 77, 730, 751, 509 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 730, 751, 509?
GCD of 77, 730, 751, 509 is 1
2. Where do I get the detailed procedure to find GCD of 77, 730, 751, 509?
You can find a detailed procedure to find GCD of 77, 730, 751, 509 on our page.
3. How to find GCD of 77, 730, 751, 509 on a calculator?
You can find the GCD of 77, 730, 751, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.