GCD of 713, 978, 16 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 713, 978, 16 quickly. Get the easiest ways to solve the greatest common divisor of 713, 978, 16 i.e 1 in different methods as follows.
Given Input numbers are 713, 978, 16
In the factoring method, we have to find the divisors of all numbers
Divisors of 713 :
The positive integer divisors of 713 that completely divides 713 are.
1, 23, 31, 713
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 16 :
The positive integer divisors of 16 that completely divides 16 are.
1, 2, 4, 8, 16
GCD of numbers is the greatest common divisor
So, the GCD (713, 978, 16) = 1.
Given numbers are 713, 978, 16
The list of prime factors of all numbers are
Prime factors of 713 are 23 x 31
Prime factors of 978 are 2 x 3 x 163
Prime factors of 16 are 2 x 2 x 2 x 2
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 713, 978, 16 using LCM Formula
Given numbers are 713, 978, 16
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(713, 978) = 697314
GCD(713, 978) = ( 713 x 978 ) / 697314
= 713 / 978
= 713
Step2:
LCM(1, 16) = 16
GCD(1, 16) = ( 1 x 16 ) / 16
= 1 / 16
= 1
So, Greatest Common Divisor of 713, 978, 16 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 713, 978, 16
Given numbers are 713, 978, 16
The greatest common divisor of numbers 713, 978, 16 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 713, 978, 16 is 1.
FAQs on GCD of 713, 978, 16 Calculator
1. What is the GCD of 713, 978, 16?
GCD of given numbers 713, 978, 16 is 1
2. How to calculate the greatest common divisor of 713, 978, 16?
We can find the highest common divisor of 713, 978, 16 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 713, 978, 16 i.e 1.
3. How can I use the GCD of 713, 978, 16Calculator?
Out the numbers 713, 978, 16 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.