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 675, 486, 145, 550 i.e. 1 largest integer that divides all the numbers equally.
GCD of 675, 486, 145, 550 is 1
GCD(675, 486, 145, 550) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 675, 486, 145, 550 is 1
GCD(675, 486, 145, 550) = 1
Given Input numbers are 675, 486, 145, 550
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Greatest Common Divisior
We found the divisors of 675, 486, 145, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 486, 145, 550 is 1.
Therefore, GCD of numbers 675, 486, 145, 550 is 1
Given Input Data is 675, 486, 145, 550
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 145 is 5 x 29
Prime Factorization of 550 is 2 x 5 x 5 x 11
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(675, 486) = 12150
GCD(675, 486) = ( 675 x 486 ) / 12150
GCD(675, 486) = 328050 / 12150
GCD(675, 486) = 27
Step2:
Here we consider the GCD from the above i.e. 27 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(27, 145) = 3915
GCD(27, 145) = ( 27 x 145 ) / 3915
GCD(27, 145) = 3915 / 3915
GCD(27, 145) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 550
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 550) = 550
GCD(1, 550) = ( 1 x 550 ) / 550
GCD(1, 550) = 550 / 550
GCD(1, 550) = 1
GCD of 675, 486, 145, 550 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 675, 486, 145, 550?
GCD of 675, 486, 145, 550 is 1
2. Where do I get the detailed procedure to find GCD of 675, 486, 145, 550?
You can find a detailed procedure to find GCD of 675, 486, 145, 550 on our page.
3. How to find GCD of 675, 486, 145, 550 on a calculator?
You can find the GCD of 675, 486, 145, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.