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 890, 165, 552, 648 i.e. 1 largest integer that divides all the numbers equally.
GCD of 890, 165, 552, 648 is 1
GCD(890, 165, 552, 648) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 890, 165, 552, 648 is 1
GCD(890, 165, 552, 648) = 1
Given Input numbers are 890, 165, 552, 648
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
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
Greatest Common Divisior
We found the divisors of 890, 165, 552, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 165, 552, 648 is 1.
Therefore, GCD of numbers 890, 165, 552, 648 is 1
Given Input Data is 890, 165, 552, 648
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 165 is 3 x 5 x 11
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
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(890, 165) = 29370
GCD(890, 165) = ( 890 x 165 ) / 29370
GCD(890, 165) = 146850 / 29370
GCD(890, 165) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 552
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 552) = 2760
GCD(5, 552) = ( 5 x 552 ) / 2760
GCD(5, 552) = 2760 / 2760
GCD(5, 552) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 648
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 648) = 648
GCD(1, 648) = ( 1 x 648 ) / 648
GCD(1, 648) = 648 / 648
GCD(1, 648) = 1
GCD of 890, 165, 552, 648 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 890, 165, 552, 648?
GCD of 890, 165, 552, 648 is 1
2. Where do I get the detailed procedure to find GCD of 890, 165, 552, 648?
You can find a detailed procedure to find GCD of 890, 165, 552, 648 on our page.
3. How to find GCD of 890, 165, 552, 648 on a calculator?
You can find the GCD of 890, 165, 552, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.