GCD of 381, 360, 548 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 381, 360, 548 quickly. Get the easiest ways to solve the greatest common divisor of 381, 360, 548 i.e 1 in different methods as follows.
Given Input numbers are 381, 360, 548
In the factoring method, we have to find the divisors of all numbers
Divisors of 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
GCD of numbers is the greatest common divisor
So, the GCD (381, 360, 548) = 1.
Given numbers are 381, 360, 548
The list of prime factors of all numbers are
Prime factors of 381 are 3 x 127
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 548 are 2 x 2 x 137
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 381, 360, 548 using LCM Formula
Given numbers are 381, 360, 548
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(381, 360) = 45720
GCD(381, 360) = ( 381 x 360 ) / 45720
= 381 / 360
= 381
Step2:
LCM(3, 548) = 1644
GCD(3, 548) = ( 3 x 548 ) / 1644
= 3 / 548
= 3
So, Greatest Common Divisor of 381, 360, 548 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 381, 360, 548
Given numbers are 381, 360, 548
The greatest common divisor of numbers 381, 360, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 360, 548 is 1.
FAQs on GCD of 381, 360, 548 Calculator
1. What is the GCD of 381, 360, 548?
GCD of given numbers 381, 360, 548 is 1
2. How to calculate the greatest common divisor of 381, 360, 548?
We can find the highest common divisor of 381, 360, 548 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 381, 360, 548 i.e 1.
3. How can I use the GCD of 381, 360, 548Calculator?
Out the numbers 381, 360, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.