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 648, 948, 185, 880 i.e. 1 largest integer that divides all the numbers equally.
GCD of 648, 948, 185, 880 is 1
GCD(648, 948, 185, 880) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 648, 948, 185, 880 is 1
GCD(648, 948, 185, 880) = 1
Given Input numbers are 648, 948, 185, 880
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
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 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Greatest Common Divisior
We found the divisors of 648, 948, 185, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 948, 185, 880 is 1.
Therefore, GCD of numbers 648, 948, 185, 880 is 1
Given Input Data is 648, 948, 185, 880
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 185 is 5 x 37
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
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(648, 948) = 51192
GCD(648, 948) = ( 648 x 948 ) / 51192
GCD(648, 948) = 614304 / 51192
GCD(648, 948) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 185
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 185) = 2220
GCD(12, 185) = ( 12 x 185 ) / 2220
GCD(12, 185) = 2220 / 2220
GCD(12, 185) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 880
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 880) = 880
GCD(1, 880) = ( 1 x 880 ) / 880
GCD(1, 880) = 880 / 880
GCD(1, 880) = 1
GCD of 648, 948, 185, 880 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 648, 948, 185, 880?
GCD of 648, 948, 185, 880 is 1
2. Where do I get the detailed procedure to find GCD of 648, 948, 185, 880?
You can find a detailed procedure to find GCD of 648, 948, 185, 880 on our page.
3. How to find GCD of 648, 948, 185, 880 on a calculator?
You can find the GCD of 648, 948, 185, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.