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 573, 298, 850, 978 i.e. 1 largest integer that divides all the numbers equally.
GCD of 573, 298, 850, 978 is 1
GCD(573, 298, 850, 978) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 573, 298, 850, 978 is 1
GCD(573, 298, 850, 978) = 1
Given Input numbers are 573, 298, 850, 978
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
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 573, 298, 850, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 573, 298, 850, 978 is 1.
Therefore, GCD of numbers 573, 298, 850, 978 is 1
Given Input Data is 573, 298, 850, 978
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 573 is 3 x 191
Prime Factorization of 298 is 2 x 149
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 978 is 2 x 3 x 163
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(573, 298) = 170754
GCD(573, 298) = ( 573 x 298 ) / 170754
GCD(573, 298) = 170754 / 170754
GCD(573, 298) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 850) = 850
GCD(1, 850) = ( 1 x 850 ) / 850
GCD(1, 850) = 850 / 850
GCD(1, 850) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 978
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 978) = 978
GCD(1, 978) = ( 1 x 978 ) / 978
GCD(1, 978) = 978 / 978
GCD(1, 978) = 1
GCD of 573, 298, 850, 978 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 573, 298, 850, 978?
GCD of 573, 298, 850, 978 is 1
2. Where do I get the detailed procedure to find GCD of 573, 298, 850, 978?
You can find a detailed procedure to find GCD of 573, 298, 850, 978 on our page.
3. How to find GCD of 573, 298, 850, 978 on a calculator?
You can find the GCD of 573, 298, 850, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.