GCD of 130, 428, 302, 303 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 130, 428, 302, 303 quickly. Get the easiest ways to solve the greatest common divisor of 130, 428, 302, 303 i.e 1 in different methods as follows.
Given Input numbers are 130, 428, 302, 303
In the factoring method, we have to find the divisors of all numbers
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
Divisors of 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
GCD of numbers is the greatest common divisor
So, the GCD (130, 428, 302, 303) = 1.
Given numbers are 130, 428, 302, 303
The list of prime factors of all numbers are
Prime factors of 130 are 2 x 5 x 13
Prime factors of 428 are 2 x 2 x 107
Prime factors of 302 are 2 x 151
Prime factors of 303 are 3 x 101
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 130, 428, 302, 303 using LCM Formula
Given numbers are 130, 428, 302, 303
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(130, 428) = 27820
GCD(130, 428) = ( 130 x 428 ) / 27820
= 130 / 428
= 130
Step2:
LCM(2, 302) = 302
GCD(2, 302) = ( 2 x 302 ) / 302
= 2 / 302
= 2
Step3:
LCM(2, 303) = 606
GCD(2, 303) = ( 2 x 303 ) / 606
= 2 / 303
= 2
So, Greatest Common Divisor of 130, 428, 302, 303 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 130, 428, 302, 303
Given numbers are 130, 428, 302, 303
The greatest common divisor of numbers 130, 428, 302, 303 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 428, 302, 303 is 1.
FAQs on GCD of 130, 428, 302, 303 Calculator
1. What is the GCD of 130, 428, 302, 303?
GCD of given numbers 130, 428, 302, 303 is 1
2. How to calculate the greatest common divisor of 130, 428, 302, 303?
We can find the highest common divisor of 130, 428, 302, 303 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 130, 428, 302, 303 i.e 1.
3. How can I use the GCD of 130, 428, 302, 303Calculator?
Out the numbers 130, 428, 302, 303 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.