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, 657, 549, 845 i.e. 1 largest integer that divides all the numbers equally.
GCD of 149, 657, 549, 845 is 1
GCD(149, 657, 549, 845) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 149, 657, 549, 845 is 1
GCD(149, 657, 549, 845) = 1
Given Input numbers are 149, 657, 549, 845
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 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Greatest Common Divisior
We found the divisors of 149, 657, 549, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 657, 549, 845 is 1.
Therefore, GCD of numbers 149, 657, 549, 845 is 1
Given Input Data is 149, 657, 549, 845
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 149 is 149
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 549 is 3 x 3 x 61
Prime Factorization of 845 is 5 x 13 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, 657) = 97893
GCD(149, 657) = ( 149 x 657 ) / 97893
GCD(149, 657) = 97893 / 97893
GCD(149, 657) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 549
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 549) = 549
GCD(1, 549) = ( 1 x 549 ) / 549
GCD(1, 549) = 549 / 549
GCD(1, 549) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 845
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 845) = 845
GCD(1, 845) = ( 1 x 845 ) / 845
GCD(1, 845) = 845 / 845
GCD(1, 845) = 1
GCD of 149, 657, 549, 845 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 149, 657, 549, 845?
GCD of 149, 657, 549, 845 is 1
2. Where do I get the detailed procedure to find GCD of 149, 657, 549, 845?
You can find a detailed procedure to find GCD of 149, 657, 549, 845 on our page.
3. How to find GCD of 149, 657, 549, 845 on a calculator?
You can find the GCD of 149, 657, 549, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.