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 550, 315, 506, 907 i.e. 1 largest integer that divides all the numbers equally.
GCD of 550, 315, 506, 907 is 1
GCD(550, 315, 506, 907) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 550, 315, 506, 907 is 1
GCD(550, 315, 506, 907) = 1
Given Input numbers are 550, 315, 506, 907
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 506
List of positive integer divisors of 506 that divides 506 without a remainder.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 907
List of positive integer divisors of 907 that divides 907 without a remainder.
1, 907
Greatest Common Divisior
We found the divisors of 550, 315, 506, 907 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 315, 506, 907 is 1.
Therefore, GCD of numbers 550, 315, 506, 907 is 1
Given Input Data is 550, 315, 506, 907
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 506 is 2 x 11 x 23
Prime Factorization of 907 is 907
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(550, 315) = 34650
GCD(550, 315) = ( 550 x 315 ) / 34650
GCD(550, 315) = 173250 / 34650
GCD(550, 315) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 506
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 506) = 2530
GCD(5, 506) = ( 5 x 506 ) / 2530
GCD(5, 506) = 2530 / 2530
GCD(5, 506) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 907
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 907) = 907
GCD(1, 907) = ( 1 x 907 ) / 907
GCD(1, 907) = 907 / 907
GCD(1, 907) = 1
GCD of 550, 315, 506, 907 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 550, 315, 506, 907?
GCD of 550, 315, 506, 907 is 1
2. Where do I get the detailed procedure to find GCD of 550, 315, 506, 907?
You can find a detailed procedure to find GCD of 550, 315, 506, 907 on our page.
3. How to find GCD of 550, 315, 506, 907 on a calculator?
You can find the GCD of 550, 315, 506, 907 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.