GCD of 20, 42, 54, 13 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 20, 42, 54, 13 quickly. Get the easiest ways to solve the greatest common divisor of 20, 42, 54, 13 i.e 1 in different methods as follows.
Given Input numbers are 20, 42, 54, 13
In the factoring method, we have to find the divisors of all numbers
Divisors of 20 :
The positive integer divisors of 20 that completely divides 20 are.
1, 2, 4, 5, 10, 20
Divisors of 42 :
The positive integer divisors of 42 that completely divides 42 are.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 54 :
The positive integer divisors of 54 that completely divides 54 are.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 13 :
The positive integer divisors of 13 that completely divides 13 are.
1, 13
GCD of numbers is the greatest common divisor
So, the GCD (20, 42, 54, 13) = 1.
Given numbers are 20, 42, 54, 13
The list of prime factors of all numbers are
Prime factors of 20 are 2 x 2 x 5
Prime factors of 42 are 2 x 3 x 7
Prime factors of 54 are 2 x 3 x 3 x 3
Prime factors of 13 are 13
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 20, 42, 54, 13 using LCM Formula
Given numbers are 20, 42, 54, 13
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(20, 42) = 420
GCD(20, 42) = ( 20 x 42 ) / 420
= 20 / 42
= 20
Step2:
LCM(2, 54) = 54
GCD(2, 54) = ( 2 x 54 ) / 54
= 2 / 54
= 2
Step3:
LCM(2, 13) = 26
GCD(2, 13) = ( 2 x 13 ) / 26
= 2 / 13
= 2
So, Greatest Common Divisor of 20, 42, 54, 13 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 20, 42, 54, 13
Given numbers are 20, 42, 54, 13
The greatest common divisor of numbers 20, 42, 54, 13 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 20, 42, 54, 13 is 1.
FAQs on GCD of 20, 42, 54, 13 Calculator
1. What is the GCD of 20, 42, 54, 13?
GCD of given numbers 20, 42, 54, 13 is 1
2. How to calculate the greatest common divisor of 20, 42, 54, 13?
We can find the highest common divisor of 20, 42, 54, 13 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 20, 42, 54, 13 i.e 1.
3. How can I use the GCD of 20, 42, 54, 13Calculator?
Out the numbers 20, 42, 54, 13 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.