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 968, 928, 16, 370 i.e. 2 largest integer that divides all the numbers equally.
GCD of 968, 928, 16, 370 is 2
GCD(968, 928, 16, 370) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 968, 928, 16, 370 is 2
GCD(968, 928, 16, 370) = 2
Given Input numbers are 968, 928, 16, 370
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Greatest Common Divisior
We found the divisors of 968, 928, 16, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 928, 16, 370 is 2.
Therefore, GCD of numbers 968, 928, 16, 370 is 2
Given Input Data is 968, 928, 16, 370
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 370 is 2 x 5 x 37
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(968, 928) = 112288
GCD(968, 928) = ( 968 x 928 ) / 112288
GCD(968, 928) = 898304 / 112288
GCD(968, 928) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 16) = 16
GCD(8, 16) = ( 8 x 16 ) / 16
GCD(8, 16) = 128 / 16
GCD(8, 16) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 370
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 370) = 1480
GCD(8, 370) = ( 8 x 370 ) / 1480
GCD(8, 370) = 2960 / 1480
GCD(8, 370) = 2
GCD of 968, 928, 16, 370 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 968, 928, 16, 370?
GCD of 968, 928, 16, 370 is 2
2. Where do I get the detailed procedure to find GCD of 968, 928, 16, 370?
You can find a detailed procedure to find GCD of 968, 928, 16, 370 on our page.
3. How to find GCD of 968, 928, 16, 370 on a calculator?
You can find the GCD of 968, 928, 16, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.