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, 616, 89, 178 i.e. 1 largest integer that divides all the numbers equally.
GCD of 890, 616, 89, 178 is 1
GCD(890, 616, 89, 178) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 890, 616, 89, 178 is 1
GCD(890, 616, 89, 178) = 1
Given Input numbers are 890, 616, 89, 178
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 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Greatest Common Divisior
We found the divisors of 890, 616, 89, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 616, 89, 178 is 1.
Therefore, GCD of numbers 890, 616, 89, 178 is 1
Given Input Data is 890, 616, 89, 178
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 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 89 is 89
Prime Factorization of 178 is 2 x 89
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, 616) = 274120
GCD(890, 616) = ( 890 x 616 ) / 274120
GCD(890, 616) = 548240 / 274120
GCD(890, 616) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 89) = 178
GCD(2, 89) = ( 2 x 89 ) / 178
GCD(2, 89) = 178 / 178
GCD(2, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
GCD(1, 178) = 178 / 178
GCD(1, 178) = 1
GCD of 890, 616, 89, 178 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 890, 616, 89, 178?
GCD of 890, 616, 89, 178 is 1
2. Where do I get the detailed procedure to find GCD of 890, 616, 89, 178?
You can find a detailed procedure to find GCD of 890, 616, 89, 178 on our page.
3. How to find GCD of 890, 616, 89, 178 on a calculator?
You can find the GCD of 890, 616, 89, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.