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 128, 149, 16, 942 i.e. 1 largest integer that divides all the numbers equally.
GCD of 128, 149, 16, 942 is 1
GCD(128, 149, 16, 942) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 128, 149, 16, 942 is 1
GCD(128, 149, 16, 942) = 1
Given Input numbers are 128, 149, 16, 942
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Greatest Common Divisior
We found the divisors of 128, 149, 16, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 149, 16, 942 is 1.
Therefore, GCD of numbers 128, 149, 16, 942 is 1
Given Input Data is 128, 149, 16, 942
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 149 is 149
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 942 is 2 x 3 x 157
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(128, 149) = 19072
GCD(128, 149) = ( 128 x 149 ) / 19072
GCD(128, 149) = 19072 / 19072
GCD(128, 149) = 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 942
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 942) = 942
GCD(1, 942) = ( 1 x 942 ) / 942
GCD(1, 942) = 942 / 942
GCD(1, 942) = 1
GCD of 128, 149, 16, 942 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 128, 149, 16, 942?
GCD of 128, 149, 16, 942 is 1
2. Where do I get the detailed procedure to find GCD of 128, 149, 16, 942?
You can find a detailed procedure to find GCD of 128, 149, 16, 942 on our page.
3. How to find GCD of 128, 149, 16, 942 on a calculator?
You can find the GCD of 128, 149, 16, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.