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 298, 780, 150, 561 i.e. 1 largest integer that divides all the numbers equally.
GCD of 298, 780, 150, 561 is 1
GCD(298, 780, 150, 561) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 298, 780, 150, 561 is 1
GCD(298, 780, 150, 561) = 1
Given Input numbers are 298, 780, 150, 561
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Greatest Common Divisior
We found the divisors of 298, 780, 150, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 780, 150, 561 is 1.
Therefore, GCD of numbers 298, 780, 150, 561 is 1
Given Input Data is 298, 780, 150, 561
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 298 is 2 x 149
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 561 is 3 x 11 x 17
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(298, 780) = 116220
GCD(298, 780) = ( 298 x 780 ) / 116220
GCD(298, 780) = 232440 / 116220
GCD(298, 780) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 150
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 150) = 150
GCD(2, 150) = ( 2 x 150 ) / 150
GCD(2, 150) = 300 / 150
GCD(2, 150) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 561
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 561) = 1122
GCD(2, 561) = ( 2 x 561 ) / 1122
GCD(2, 561) = 1122 / 1122
GCD(2, 561) = 1
GCD of 298, 780, 150, 561 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 298, 780, 150, 561?
GCD of 298, 780, 150, 561 is 1
2. Where do I get the detailed procedure to find GCD of 298, 780, 150, 561?
You can find a detailed procedure to find GCD of 298, 780, 150, 561 on our page.
3. How to find GCD of 298, 780, 150, 561 on a calculator?
You can find the GCD of 298, 780, 150, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.