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 120, 586, 28, 978 i.e. 2 largest integer that divides all the numbers equally.
GCD of 120, 586, 28, 978 is 2
GCD(120, 586, 28, 978) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 120, 586, 28, 978 is 2
GCD(120, 586, 28, 978) = 2
Given Input numbers are 120, 586, 28, 978
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 586
List of positive integer divisors of 586 that divides 586 without a remainder.
1, 2, 293, 586
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 978
List of positive integer divisors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489, 978
Greatest Common Divisior
We found the divisors of 120, 586, 28, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 586, 28, 978 is 2.
Therefore, GCD of numbers 120, 586, 28, 978 is 2
Given Input Data is 120, 586, 28, 978
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 586 is 2 x 293
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 978 is 2 x 3 x 163
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(120, 586) = 35160
GCD(120, 586) = ( 120 x 586 ) / 35160
GCD(120, 586) = 70320 / 35160
GCD(120, 586) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 28) = 28
GCD(2, 28) = ( 2 x 28 ) / 28
GCD(2, 28) = 56 / 28
GCD(2, 28) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 978
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 978) = 978
GCD(2, 978) = ( 2 x 978 ) / 978
GCD(2, 978) = 1956 / 978
GCD(2, 978) = 2
GCD of 120, 586, 28, 978 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 120, 586, 28, 978?
GCD of 120, 586, 28, 978 is 2
2. Where do I get the detailed procedure to find GCD of 120, 586, 28, 978?
You can find a detailed procedure to find GCD of 120, 586, 28, 978 on our page.
3. How to find GCD of 120, 586, 28, 978 on a calculator?
You can find the GCD of 120, 586, 28, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.