GCD of 453, 120, 38, 131 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 453, 120, 38, 131 quickly. Get the easiest ways to solve the greatest common divisor of 453, 120, 38, 131 i.e 1 in different methods as follows.
Given Input numbers are 453, 120, 38, 131
In the factoring method, we have to find the divisors of all numbers
Divisors of 453 :
The positive integer divisors of 453 that completely divides 453 are.
1, 3, 151, 453
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 38 :
The positive integer divisors of 38 that completely divides 38 are.
1, 2, 19, 38
Divisors of 131 :
The positive integer divisors of 131 that completely divides 131 are.
1, 131
GCD of numbers is the greatest common divisor
So, the GCD (453, 120, 38, 131) = 1.
Given numbers are 453, 120, 38, 131
The list of prime factors of all numbers are
Prime factors of 453 are 3 x 151
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 38 are 2 x 19
Prime factors of 131 are 131
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 453, 120, 38, 131 using LCM Formula
Given numbers are 453, 120, 38, 131
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(453, 120) = 18120
GCD(453, 120) = ( 453 x 120 ) / 18120
= 453 / 120
= 453
Step2:
LCM(3, 38) = 114
GCD(3, 38) = ( 3 x 38 ) / 114
= 3 / 38
= 3
Step3:
LCM(1, 131) = 131
GCD(1, 131) = ( 1 x 131 ) / 131
= 1 / 131
= 1
So, Greatest Common Divisor of 453, 120, 38, 131 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 453, 120, 38, 131
Given numbers are 453, 120, 38, 131
The greatest common divisor of numbers 453, 120, 38, 131 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 453, 120, 38, 131 is 1.
FAQs on GCD of 453, 120, 38, 131 Calculator
1. What is the GCD of 453, 120, 38, 131?
GCD of given numbers 453, 120, 38, 131 is 1
2. How to calculate the greatest common divisor of 453, 120, 38, 131?
We can find the highest common divisor of 453, 120, 38, 131 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 453, 120, 38, 131 i.e 1.
3. How can I use the GCD of 453, 120, 38, 131Calculator?
Out the numbers 453, 120, 38, 131 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.