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, 255, 278, 564 i.e. 1 largest integer that divides all the numbers equally.
GCD of 890, 255, 278, 564 is 1
GCD(890, 255, 278, 564) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 890, 255, 278, 564 is 1
GCD(890, 255, 278, 564) = 1
Given Input numbers are 890, 255, 278, 564
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 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Greatest Common Divisior
We found the divisors of 890, 255, 278, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 255, 278, 564 is 1.
Therefore, GCD of numbers 890, 255, 278, 564 is 1
Given Input Data is 890, 255, 278, 564
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 255 is 3 x 5 x 17
Prime Factorization of 278 is 2 x 139
Prime Factorization of 564 is 2 x 2 x 3 x 47
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, 255) = 45390
GCD(890, 255) = ( 890 x 255 ) / 45390
GCD(890, 255) = 226950 / 45390
GCD(890, 255) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 278
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 278) = 1390
GCD(5, 278) = ( 5 x 278 ) / 1390
GCD(5, 278) = 1390 / 1390
GCD(5, 278) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 564) = 564
GCD(1, 564) = ( 1 x 564 ) / 564
GCD(1, 564) = 564 / 564
GCD(1, 564) = 1
GCD of 890, 255, 278, 564 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 890, 255, 278, 564?
GCD of 890, 255, 278, 564 is 1
2. Where do I get the detailed procedure to find GCD of 890, 255, 278, 564?
You can find a detailed procedure to find GCD of 890, 255, 278, 564 on our page.
3. How to find GCD of 890, 255, 278, 564 on a calculator?
You can find the GCD of 890, 255, 278, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.