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 130, 495, 608, 551 i.e. 1 largest integer that divides all the numbers equally.
GCD of 130, 495, 608, 551 is 1
GCD(130, 495, 608, 551) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 130, 495, 608, 551 is 1
GCD(130, 495, 608, 551) = 1
Given Input numbers are 130, 495, 608, 551
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
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 608
List of positive integer divisors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Greatest Common Divisior
We found the divisors of 130, 495, 608, 551 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 495, 608, 551 is 1.
Therefore, GCD of numbers 130, 495, 608, 551 is 1
Given Input Data is 130, 495, 608, 551
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19
Prime Factorization of 551 is 19 x 29
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(130, 495) = 12870
GCD(130, 495) = ( 130 x 495 ) / 12870
GCD(130, 495) = 64350 / 12870
GCD(130, 495) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 608
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 608) = 3040
GCD(5, 608) = ( 5 x 608 ) / 3040
GCD(5, 608) = 3040 / 3040
GCD(5, 608) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 551
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 551) = 551
GCD(1, 551) = ( 1 x 551 ) / 551
GCD(1, 551) = 551 / 551
GCD(1, 551) = 1
GCD of 130, 495, 608, 551 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 130, 495, 608, 551?
GCD of 130, 495, 608, 551 is 1
2. Where do I get the detailed procedure to find GCD of 130, 495, 608, 551?
You can find a detailed procedure to find GCD of 130, 495, 608, 551 on our page.
3. How to find GCD of 130, 495, 608, 551 on a calculator?
You can find the GCD of 130, 495, 608, 551 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.