GCD of 484, 968, 649 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 484, 968, 649 quickly. Get the easiest ways to solve the greatest common divisor of 484, 968, 649 i.e 11 in different methods as follows.
Given Input numbers are 484, 968, 649
In the factoring method, we have to find the divisors of all numbers
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
GCD of numbers is the greatest common divisor
So, the GCD (484, 968, 649) = 11.
Given numbers are 484, 968, 649
The list of prime factors of all numbers are
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
Prime factors of 649 are 11 x 59
The highest common occurrence is 111
Therefore, GCD of 484, 968, 649 is 11.
Steps to Calculate GCD of 484, 968, 649 using LCM Formula
Given numbers are 484, 968, 649
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(484, 968) = 968
GCD(484, 968) = ( 484 x 968 ) / 968
= 484 / 968
= 484
Step2:
LCM(484, 649) = 28556
GCD(484, 649) = ( 484 x 649 ) / 28556
= 484 / 649
= 484
So, Greatest Common Divisor of 484, 968, 649 is 11
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 484, 968, 649
Given numbers are 484, 968, 649
The greatest common divisor of numbers 484, 968, 649 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 484, 968, 649 is 11.
FAQs on GCD of 484, 968, 649 Calculator
1. What is the GCD of 484, 968, 649?
GCD of given numbers 484, 968, 649 is 11
2. How to calculate the greatest common divisor of 484, 968, 649?
We can find the highest common divisor of 484, 968, 649 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 484, 968, 649 i.e 11.
3. How can I use the GCD of 484, 968, 649Calculator?
Out the numbers 484, 968, 649 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.