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 511, 315, 747, 107 i.e. 1 largest integer that divides all the numbers equally.
GCD of 511, 315, 747, 107 is 1
GCD(511, 315, 747, 107) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 511, 315, 747, 107 is 1
GCD(511, 315, 747, 107) = 1
Given Input numbers are 511, 315, 747, 107
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Greatest Common Divisior
We found the divisors of 511, 315, 747, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 511, 315, 747, 107 is 1.
Therefore, GCD of numbers 511, 315, 747, 107 is 1
Given Input Data is 511, 315, 747, 107
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 511 is 7 x 73
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 107 is 107
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(511, 315) = 22995
GCD(511, 315) = ( 511 x 315 ) / 22995
GCD(511, 315) = 160965 / 22995
GCD(511, 315) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 747
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 747) = 5229
GCD(7, 747) = ( 7 x 747 ) / 5229
GCD(7, 747) = 5229 / 5229
GCD(7, 747) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 107
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 107) = 107
GCD(1, 107) = ( 1 x 107 ) / 107
GCD(1, 107) = 107 / 107
GCD(1, 107) = 1
GCD of 511, 315, 747, 107 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 511, 315, 747, 107?
GCD of 511, 315, 747, 107 is 1
2. Where do I get the detailed procedure to find GCD of 511, 315, 747, 107?
You can find a detailed procedure to find GCD of 511, 315, 747, 107 on our page.
3. How to find GCD of 511, 315, 747, 107 on a calculator?
You can find the GCD of 511, 315, 747, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.