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 116, 763, 476, 649 i.e. 1 largest integer that divides all the numbers equally.
GCD of 116, 763, 476, 649 is 1
GCD(116, 763, 476, 649) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 116, 763, 476, 649 is 1
GCD(116, 763, 476, 649) = 1
Given Input numbers are 116, 763, 476, 649
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Greatest Common Divisior
We found the divisors of 116, 763, 476, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 763, 476, 649 is 1.
Therefore, GCD of numbers 116, 763, 476, 649 is 1
Given Input Data is 116, 763, 476, 649
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 763 is 7 x 109
Prime Factorization of 476 is 2 x 2 x 7 x 17
Prime Factorization of 649 is 11 x 59
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(116, 763) = 88508
GCD(116, 763) = ( 116 x 763 ) / 88508
GCD(116, 763) = 88508 / 88508
GCD(116, 763) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 476
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 476) = 476
GCD(1, 476) = ( 1 x 476 ) / 476
GCD(1, 476) = 476 / 476
GCD(1, 476) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 649
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
GCD(1, 649) = 649 / 649
GCD(1, 649) = 1
GCD of 116, 763, 476, 649 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 116, 763, 476, 649?
GCD of 116, 763, 476, 649 is 1
2. Where do I get the detailed procedure to find GCD of 116, 763, 476, 649?
You can find a detailed procedure to find GCD of 116, 763, 476, 649 on our page.
3. How to find GCD of 116, 763, 476, 649 on a calculator?
You can find the GCD of 116, 763, 476, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.