GCD of 13, 16, 38, 98 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 13, 16, 38, 98 quickly. Get the easiest ways to solve the greatest common divisor of 13, 16, 38, 98 i.e 1 in different methods as follows.
Given Input numbers are 13, 16, 38, 98
In the factoring method, we have to find the divisors of all numbers
Divisors of 13 :
The positive integer divisors of 13 that completely divides 13 are.
1, 13
Divisors of 16 :
The positive integer divisors of 16 that completely divides 16 are.
1, 2, 4, 8, 16
Divisors of 38 :
The positive integer divisors of 38 that completely divides 38 are.
1, 2, 19, 38
Divisors of 98 :
The positive integer divisors of 98 that completely divides 98 are.
1, 2, 7, 14, 49, 98
GCD of numbers is the greatest common divisor
So, the GCD (13, 16, 38, 98) = 1.
Given numbers are 13, 16, 38, 98
The list of prime factors of all numbers are
Prime factors of 13 are 13
Prime factors of 16 are 2 x 2 x 2 x 2
Prime factors of 38 are 2 x 19
Prime factors of 98 are 2 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 13, 16, 38, 98 using LCM Formula
Given numbers are 13, 16, 38, 98
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(13, 16) = 208
GCD(13, 16) = ( 13 x 16 ) / 208
= 13 / 16
= 13
Step2:
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
= 1 / 38
= 1
Step3:
LCM(1, 98) = 98
GCD(1, 98) = ( 1 x 98 ) / 98
= 1 / 98
= 1
So, Greatest Common Divisor of 13, 16, 38, 98 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 13, 16, 38, 98
Given numbers are 13, 16, 38, 98
The greatest common divisor of numbers 13, 16, 38, 98 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 13, 16, 38, 98 is 1.
FAQs on GCD of 13, 16, 38, 98 Calculator
1. What is the GCD of 13, 16, 38, 98?
GCD of given numbers 13, 16, 38, 98 is 1
2. How to calculate the greatest common divisor of 13, 16, 38, 98?
We can find the highest common divisor of 13, 16, 38, 98 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 13, 16, 38, 98 i.e 1.
3. How can I use the GCD of 13, 16, 38, 98Calculator?
Out the numbers 13, 16, 38, 98 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.