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 16, 308, 707, 964 i.e. 1 largest integer that divides all the numbers equally.
GCD of 16, 308, 707, 964 is 1
GCD(16, 308, 707, 964) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 16, 308, 707, 964 is 1
GCD(16, 308, 707, 964) = 1
Given Input numbers are 16, 308, 707, 964
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
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 16, 308, 707, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 308, 707, 964 is 1.
Therefore, GCD of numbers 16, 308, 707, 964 is 1
Given Input Data is 16, 308, 707, 964
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 707 is 7 x 101
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(16, 308) = 1232
GCD(16, 308) = ( 16 x 308 ) / 1232
GCD(16, 308) = 4928 / 1232
GCD(16, 308) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 707) = 2828
GCD(4, 707) = ( 4 x 707 ) / 2828
GCD(4, 707) = 2828 / 2828
GCD(4, 707) = 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 16, 308, 707, 964 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 16, 308, 707, 964?
GCD of 16, 308, 707, 964 is 1
2. Where do I get the detailed procedure to find GCD of 16, 308, 707, 964?
You can find a detailed procedure to find GCD of 16, 308, 707, 964 on our page.
3. How to find GCD of 16, 308, 707, 964 on a calculator?
You can find the GCD of 16, 308, 707, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.