GCD of 92, 20, 38, 71 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 92, 20, 38, 71 quickly. Get the easiest ways to solve the greatest common divisor of 92, 20, 38, 71 i.e 1 in different methods as follows.
Given Input numbers are 92, 20, 38, 71
In the factoring method, we have to find the divisors of all numbers
Divisors of 92 :
The positive integer divisors of 92 that completely divides 92 are.
1, 2, 4, 23, 46, 92
Divisors of 20 :
The positive integer divisors of 20 that completely divides 20 are.
1, 2, 4, 5, 10, 20
Divisors of 38 :
The positive integer divisors of 38 that completely divides 38 are.
1, 2, 19, 38
Divisors of 71 :
The positive integer divisors of 71 that completely divides 71 are.
1, 71
GCD of numbers is the greatest common divisor
So, the GCD (92, 20, 38, 71) = 1.
Given numbers are 92, 20, 38, 71
The list of prime factors of all numbers are
Prime factors of 92 are 2 x 2 x 23
Prime factors of 20 are 2 x 2 x 5
Prime factors of 38 are 2 x 19
Prime factors of 71 are 71
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 92, 20, 38, 71 using LCM Formula
Given numbers are 92, 20, 38, 71
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(92, 20) = 460
GCD(92, 20) = ( 92 x 20 ) / 460
= 92 / 20
= 92
Step2:
LCM(4, 38) = 76
GCD(4, 38) = ( 4 x 38 ) / 76
= 4 / 38
= 4
Step3:
LCM(2, 71) = 142
GCD(2, 71) = ( 2 x 71 ) / 142
= 2 / 71
= 2
So, Greatest Common Divisor of 92, 20, 38, 71 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 92, 20, 38, 71
Given numbers are 92, 20, 38, 71
The greatest common divisor of numbers 92, 20, 38, 71 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 92, 20, 38, 71 is 1.
FAQs on GCD of 92, 20, 38, 71 Calculator
1. What is the GCD of 92, 20, 38, 71?
GCD of given numbers 92, 20, 38, 71 is 1
2. How to calculate the greatest common divisor of 92, 20, 38, 71?
We can find the highest common divisor of 92, 20, 38, 71 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 92, 20, 38, 71 i.e 1.
3. How can I use the GCD of 92, 20, 38, 71Calculator?
Out the numbers 92, 20, 38, 71 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.