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 835, 654, 16, 964 i.e. 1 largest integer that divides all the numbers equally.
GCD of 835, 654, 16, 964 is 1
GCD(835, 654, 16, 964) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 835, 654, 16, 964 is 1
GCD(835, 654, 16, 964) = 1
Given Input numbers are 835, 654, 16, 964
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Greatest Common Divisior
We found the divisors of 835, 654, 16, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 835, 654, 16, 964 is 1.
Therefore, GCD of numbers 835, 654, 16, 964 is 1
Given Input Data is 835, 654, 16, 964
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 835 is 5 x 167
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 964 is 2 x 2 x 241
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(835, 654) = 546090
GCD(835, 654) = ( 835 x 654 ) / 546090
GCD(835, 654) = 546090 / 546090
GCD(835, 654) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 16) = 16
GCD(1, 16) = ( 1 x 16 ) / 16
GCD(1, 16) = 16 / 16
GCD(1, 16) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 964) = 964
GCD(1, 964) = ( 1 x 964 ) / 964
GCD(1, 964) = 964 / 964
GCD(1, 964) = 1
GCD of 835, 654, 16, 964 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 835, 654, 16, 964?
GCD of 835, 654, 16, 964 is 1
2. Where do I get the detailed procedure to find GCD of 835, 654, 16, 964?
You can find a detailed procedure to find GCD of 835, 654, 16, 964 on our page.
3. How to find GCD of 835, 654, 16, 964 on a calculator?
You can find the GCD of 835, 654, 16, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.