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 948, 465, 328, 128 i.e. 1 largest integer that divides all the numbers equally.
GCD of 948, 465, 328, 128 is 1
GCD(948, 465, 328, 128) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 948, 465, 328, 128 is 1
GCD(948, 465, 328, 128) = 1
Given Input numbers are 948, 465, 328, 128
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Greatest Common Divisior
We found the divisors of 948, 465, 328, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 465, 328, 128 is 1.
Therefore, GCD of numbers 948, 465, 328, 128 is 1
Given Input Data is 948, 465, 328, 128
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
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(948, 465) = 146940
GCD(948, 465) = ( 948 x 465 ) / 146940
GCD(948, 465) = 440820 / 146940
GCD(948, 465) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 328
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 328) = 984
GCD(3, 328) = ( 3 x 328 ) / 984
GCD(3, 328) = 984 / 984
GCD(3, 328) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 128
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 128) = 128
GCD(1, 128) = ( 1 x 128 ) / 128
GCD(1, 128) = 128 / 128
GCD(1, 128) = 1
GCD of 948, 465, 328, 128 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 948, 465, 328, 128?
GCD of 948, 465, 328, 128 is 1
2. Where do I get the detailed procedure to find GCD of 948, 465, 328, 128?
You can find a detailed procedure to find GCD of 948, 465, 328, 128 on our page.
3. How to find GCD of 948, 465, 328, 128 on a calculator?
You can find the GCD of 948, 465, 328, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.