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 467, 100, 733, 986 i.e. 1 largest integer that divides all the numbers equally.
GCD of 467, 100, 733, 986 is 1
GCD(467, 100, 733, 986) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 467, 100, 733, 986 is 1
GCD(467, 100, 733, 986) = 1
Given Input numbers are 467, 100, 733, 986
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Divisors of 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Greatest Common Divisior
We found the divisors of 467, 100, 733, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 467, 100, 733, 986 is 1.
Therefore, GCD of numbers 467, 100, 733, 986 is 1
Given Input Data is 467, 100, 733, 986
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 467 is 467
Prime Factorization of 100 is 2 x 2 x 5 x 5
Prime Factorization of 733 is 733
Prime Factorization of 986 is 2 x 17 x 29
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(467, 100) = 46700
GCD(467, 100) = ( 467 x 100 ) / 46700
GCD(467, 100) = 46700 / 46700
GCD(467, 100) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 733
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 733) = 733
GCD(1, 733) = ( 1 x 733 ) / 733
GCD(1, 733) = 733 / 733
GCD(1, 733) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 986
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 986) = 986
GCD(1, 986) = ( 1 x 986 ) / 986
GCD(1, 986) = 986 / 986
GCD(1, 986) = 1
GCD of 467, 100, 733, 986 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 467, 100, 733, 986?
GCD of 467, 100, 733, 986 is 1
2. Where do I get the detailed procedure to find GCD of 467, 100, 733, 986?
You can find a detailed procedure to find GCD of 467, 100, 733, 986 on our page.
3. How to find GCD of 467, 100, 733, 986 on a calculator?
You can find the GCD of 467, 100, 733, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.