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, 173, 51, 672 i.e. 1 largest integer that divides all the numbers equally.
GCD of 130, 173, 51, 672 is 1
GCD(130, 173, 51, 672) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 130, 173, 51, 672 is 1
GCD(130, 173, 51, 672) = 1
Given Input numbers are 130, 173, 51, 672
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 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Greatest Common Divisior
We found the divisors of 130, 173, 51, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 173, 51, 672 is 1.
Therefore, GCD of numbers 130, 173, 51, 672 is 1
Given Input Data is 130, 173, 51, 672
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 173 is 173
Prime Factorization of 51 is 3 x 17
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
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, 173) = 22490
GCD(130, 173) = ( 130 x 173 ) / 22490
GCD(130, 173) = 22490 / 22490
GCD(130, 173) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 672
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 672) = 672
GCD(1, 672) = ( 1 x 672 ) / 672
GCD(1, 672) = 672 / 672
GCD(1, 672) = 1
GCD of 130, 173, 51, 672 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 130, 173, 51, 672?
GCD of 130, 173, 51, 672 is 1
2. Where do I get the detailed procedure to find GCD of 130, 173, 51, 672?
You can find a detailed procedure to find GCD of 130, 173, 51, 672 on our page.
3. How to find GCD of 130, 173, 51, 672 on a calculator?
You can find the GCD of 130, 173, 51, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.