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 105, 900, 385, 967 i.e. 1 largest integer that divides all the numbers equally.
GCD of 105, 900, 385, 967 is 1
GCD(105, 900, 385, 967) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 105, 900, 385, 967 is 1
GCD(105, 900, 385, 967) = 1
Given Input numbers are 105, 900, 385, 967
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Greatest Common Divisior
We found the divisors of 105, 900, 385, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 900, 385, 967 is 1.
Therefore, GCD of numbers 105, 900, 385, 967 is 1
Given Input Data is 105, 900, 385, 967
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 967 is 967
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(105, 900) = 6300
GCD(105, 900) = ( 105 x 900 ) / 6300
GCD(105, 900) = 94500 / 6300
GCD(105, 900) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 385) = 1155
GCD(15, 385) = ( 15 x 385 ) / 1155
GCD(15, 385) = 5775 / 1155
GCD(15, 385) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 967
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 967) = 4835
GCD(5, 967) = ( 5 x 967 ) / 4835
GCD(5, 967) = 4835 / 4835
GCD(5, 967) = 1
GCD of 105, 900, 385, 967 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 105, 900, 385, 967?
GCD of 105, 900, 385, 967 is 1
2. Where do I get the detailed procedure to find GCD of 105, 900, 385, 967?
You can find a detailed procedure to find GCD of 105, 900, 385, 967 on our page.
3. How to find GCD of 105, 900, 385, 967 on a calculator?
You can find the GCD of 105, 900, 385, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.