GCD of 131, 213, 149, 216 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 131, 213, 149, 216 quickly. Get the easiest ways to solve the greatest common divisor of 131, 213, 149, 216 i.e 1 in different methods as follows.
Given Input numbers are 131, 213, 149, 216
In the factoring method, we have to find the divisors of all numbers
Divisors of 131 :
The positive integer divisors of 131 that completely divides 131 are.
1, 131
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
GCD of numbers is the greatest common divisor
So, the GCD (131, 213, 149, 216) = 1.
Given numbers are 131, 213, 149, 216
The list of prime factors of all numbers are
Prime factors of 131 are 131
Prime factors of 213 are 3 x 71
Prime factors of 149 are 149
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 131, 213, 149, 216 using LCM Formula
Given numbers are 131, 213, 149, 216
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(131, 213) = 27903
GCD(131, 213) = ( 131 x 213 ) / 27903
= 131 / 213
= 131
Step2:
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
= 1 / 149
= 1
Step3:
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
= 1 / 216
= 1
So, Greatest Common Divisor of 131, 213, 149, 216 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 131, 213, 149, 216
Given numbers are 131, 213, 149, 216
The greatest common divisor of numbers 131, 213, 149, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 131, 213, 149, 216 is 1.
FAQs on GCD of 131, 213, 149, 216 Calculator
1. What is the GCD of 131, 213, 149, 216?
GCD of given numbers 131, 213, 149, 216 is 1
2. How to calculate the greatest common divisor of 131, 213, 149, 216?
We can find the highest common divisor of 131, 213, 149, 216 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 131, 213, 149, 216 i.e 1.
3. How can I use the GCD of 131, 213, 149, 216Calculator?
Out the numbers 131, 213, 149, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.