GCD of 216, 698, 48 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 216, 698, 48 quickly. Get the easiest ways to solve the greatest common divisor of 216, 698, 48 i.e 2 in different methods as follows.
Given Input numbers are 216, 698, 48
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 48 :
The positive integer divisors of 48 that completely divides 48 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
GCD of numbers is the greatest common divisor
So, the GCD (216, 698, 48) = 2.
Given numbers are 216, 698, 48
The list of prime factors of all numbers are
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 698 are 2 x 349
Prime factors of 48 are 2 x 2 x 2 x 2 x 3
The highest common occurrence is 21
Therefore, GCD of 216, 698, 48 is 2.
Steps to Calculate GCD of 216, 698, 48 using LCM Formula
Given numbers are 216, 698, 48
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(216, 698) = 75384
GCD(216, 698) = ( 216 x 698 ) / 75384
= 216 / 698
= 216
Step2:
LCM(2, 48) = 48
GCD(2, 48) = ( 2 x 48 ) / 48
= 2 / 48
= 2
So, Greatest Common Divisor of 216, 698, 48 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 216, 698, 48
Given numbers are 216, 698, 48
The greatest common divisor of numbers 216, 698, 48 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 698, 48 is 2.
FAQs on GCD of 216, 698, 48 Calculator
1. What is the GCD of 216, 698, 48?
GCD of given numbers 216, 698, 48 is 2
2. How to calculate the greatest common divisor of 216, 698, 48?
We can find the highest common divisor of 216, 698, 48 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 216, 698, 48 i.e 2.
3. How can I use the GCD of 216, 698, 48Calculator?
Out the numbers 216, 698, 48 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.