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 978, 448, 599, 250 i.e. 1 largest integer that divides all the numbers equally.
GCD of 978, 448, 599, 250 is 1
GCD(978, 448, 599, 250) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 978, 448, 599, 250 is 1
GCD(978, 448, 599, 250) = 1
Given Input numbers are 978, 448, 599, 250
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 978
List of positive integer divisors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 599
List of positive integer divisors of 599 that divides 599 without a remainder.
1, 599
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Greatest Common Divisior
We found the divisors of 978, 448, 599, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 448, 599, 250 is 1.
Therefore, GCD of numbers 978, 448, 599, 250 is 1
Given Input Data is 978, 448, 599, 250
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 978 is 2 x 3 x 163
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 599 is 599
Prime Factorization of 250 is 2 x 5 x 5 x 5
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(978, 448) = 219072
GCD(978, 448) = ( 978 x 448 ) / 219072
GCD(978, 448) = 438144 / 219072
GCD(978, 448) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 599
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 599) = 1198
GCD(2, 599) = ( 2 x 599 ) / 1198
GCD(2, 599) = 1198 / 1198
GCD(2, 599) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 250
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 250) = 250
GCD(1, 250) = ( 1 x 250 ) / 250
GCD(1, 250) = 250 / 250
GCD(1, 250) = 1
GCD of 978, 448, 599, 250 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 978, 448, 599, 250?
GCD of 978, 448, 599, 250 is 1
2. Where do I get the detailed procedure to find GCD of 978, 448, 599, 250?
You can find a detailed procedure to find GCD of 978, 448, 599, 250 on our page.
3. How to find GCD of 978, 448, 599, 250 on a calculator?
You can find the GCD of 978, 448, 599, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.