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, 506, 64, 660 i.e. 2 largest integer that divides all the numbers equally.
GCD of 890, 506, 64, 660 is 2
GCD(890, 506, 64, 660) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 890, 506, 64, 660 is 2
GCD(890, 506, 64, 660) = 2
Given Input numbers are 890, 506, 64, 660
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 506
List of positive integer divisors of 506 that divides 506 without a remainder.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Greatest Common Divisior
We found the divisors of 890, 506, 64, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 506, 64, 660 is 2.
Therefore, GCD of numbers 890, 506, 64, 660 is 2
Given Input Data is 890, 506, 64, 660
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 506 is 2 x 11 x 23
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 506) = 225170
GCD(890, 506) = ( 890 x 506 ) / 225170
GCD(890, 506) = 450340 / 225170
GCD(890, 506) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 64) = 64
GCD(2, 64) = ( 2 x 64 ) / 64
GCD(2, 64) = 128 / 64
GCD(2, 64) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 660
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 660) = 660
GCD(2, 660) = ( 2 x 660 ) / 660
GCD(2, 660) = 1320 / 660
GCD(2, 660) = 2
GCD of 890, 506, 64, 660 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 890, 506, 64, 660?
GCD of 890, 506, 64, 660 is 2
2. Where do I get the detailed procedure to find GCD of 890, 506, 64, 660?
You can find a detailed procedure to find GCD of 890, 506, 64, 660 on our page.
3. How to find GCD of 890, 506, 64, 660 on a calculator?
You can find the GCD of 890, 506, 64, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.