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 928, 146, 65, 103 i.e. 1 largest integer that divides all the numbers equally.
GCD of 928, 146, 65, 103 is 1
GCD(928, 146, 65, 103) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 928, 146, 65, 103 is 1
GCD(928, 146, 65, 103) = 1
Given Input numbers are 928, 146, 65, 103
To find the GCD of numbers using factoring list out all the divisors of each number
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 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Greatest Common Divisior
We found the divisors of 928, 146, 65, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 146, 65, 103 is 1.
Therefore, GCD of numbers 928, 146, 65, 103 is 1
Given Input Data is 928, 146, 65, 103
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 146 is 2 x 73
Prime Factorization of 65 is 5 x 13
Prime Factorization of 103 is 103
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(928, 146) = 67744
GCD(928, 146) = ( 928 x 146 ) / 67744
GCD(928, 146) = 135488 / 67744
GCD(928, 146) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 65) = 130
GCD(2, 65) = ( 2 x 65 ) / 130
GCD(2, 65) = 130 / 130
GCD(2, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 103) = 103
GCD(1, 103) = ( 1 x 103 ) / 103
GCD(1, 103) = 103 / 103
GCD(1, 103) = 1
GCD of 928, 146, 65, 103 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 928, 146, 65, 103?
GCD of 928, 146, 65, 103 is 1
2. Where do I get the detailed procedure to find GCD of 928, 146, 65, 103?
You can find a detailed procedure to find GCD of 928, 146, 65, 103 on our page.
3. How to find GCD of 928, 146, 65, 103 on a calculator?
You can find the GCD of 928, 146, 65, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.