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 149, 571, 38, 260 i.e. 1 largest integer that divides all the numbers equally.
GCD of 149, 571, 38, 260 is 1
GCD(149, 571, 38, 260) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 149, 571, 38, 260 is 1
GCD(149, 571, 38, 260) = 1
Given Input numbers are 149, 571, 38, 260
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 571
List of positive integer divisors of 571 that divides 571 without a remainder.
1, 571
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Greatest Common Divisior
We found the divisors of 149, 571, 38, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 571, 38, 260 is 1.
Therefore, GCD of numbers 149, 571, 38, 260 is 1
Given Input Data is 149, 571, 38, 260
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 149 is 149
Prime Factorization of 571 is 571
Prime Factorization of 38 is 2 x 19
Prime Factorization of 260 is 2 x 2 x 5 x 13
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(149, 571) = 85079
GCD(149, 571) = ( 149 x 571 ) / 85079
GCD(149, 571) = 85079 / 85079
GCD(149, 571) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
GCD(1, 38) = 38 / 38
GCD(1, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 260
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 260) = 260
GCD(1, 260) = ( 1 x 260 ) / 260
GCD(1, 260) = 260 / 260
GCD(1, 260) = 1
GCD of 149, 571, 38, 260 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 149, 571, 38, 260?
GCD of 149, 571, 38, 260 is 1
2. Where do I get the detailed procedure to find GCD of 149, 571, 38, 260?
You can find a detailed procedure to find GCD of 149, 571, 38, 260 on our page.
3. How to find GCD of 149, 571, 38, 260 on a calculator?
You can find the GCD of 149, 571, 38, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.