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 50, 495, 137, 910 i.e. 1 largest integer that divides all the numbers equally.
GCD of 50, 495, 137, 910 is 1
GCD(50, 495, 137, 910) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 495, 137, 910 is 1
GCD(50, 495, 137, 910) = 1
Given Input numbers are 50, 495, 137, 910
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Greatest Common Divisior
We found the divisors of 50, 495, 137, 910 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 495, 137, 910 is 1.
Therefore, GCD of numbers 50, 495, 137, 910 is 1
Given Input Data is 50, 495, 137, 910
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 137 is 137
Prime Factorization of 910 is 2 x 5 x 7 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(50, 495) = 4950
GCD(50, 495) = ( 50 x 495 ) / 4950
GCD(50, 495) = 24750 / 4950
GCD(50, 495) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 137) = 685
GCD(5, 137) = ( 5 x 137 ) / 685
GCD(5, 137) = 685 / 685
GCD(5, 137) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 910
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 910) = 910
GCD(1, 910) = ( 1 x 910 ) / 910
GCD(1, 910) = 910 / 910
GCD(1, 910) = 1
GCD of 50, 495, 137, 910 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 495, 137, 910?
GCD of 50, 495, 137, 910 is 1
2. Where do I get the detailed procedure to find GCD of 50, 495, 137, 910?
You can find a detailed procedure to find GCD of 50, 495, 137, 910 on our page.
3. How to find GCD of 50, 495, 137, 910 on a calculator?
You can find the GCD of 50, 495, 137, 910 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.