GCD of 495, 132, 968 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 495, 132, 968 quickly. Get the easiest ways to solve the greatest common divisor of 495, 132, 968 i.e 11 in different methods as follows.
Given Input numbers are 495, 132, 968
In the factoring method, we have to find the divisors of all numbers
Divisors of 495 :
The positive integer divisors of 495 that completely divides 495 are.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
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
GCD of numbers is the greatest common divisor
So, the GCD (495, 132, 968) = 11.
Given numbers are 495, 132, 968
The list of prime factors of all numbers are
Prime factors of 495 are 3 x 3 x 5 x 11
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
The highest common occurrence is 111
Therefore, GCD of 495, 132, 968 is 11.
Steps to Calculate GCD of 495, 132, 968 using LCM Formula
Given numbers are 495, 132, 968
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(495, 132) = 1980
GCD(495, 132) = ( 495 x 132 ) / 1980
= 495 / 132
= 495
Step2:
LCM(33, 968) = 2904
GCD(33, 968) = ( 33 x 968 ) / 2904
= 33 / 968
= 33
So, Greatest Common Divisor of 495, 132, 968 is 11
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 495, 132, 968
Given numbers are 495, 132, 968
The greatest common divisor of numbers 495, 132, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 132, 968 is 11.
FAQs on GCD of 495, 132, 968 Calculator
1. What is the GCD of 495, 132, 968?
GCD of given numbers 495, 132, 968 is 11
2. How to calculate the greatest common divisor of 495, 132, 968?
We can find the highest common divisor of 495, 132, 968 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 495, 132, 968 i.e 11.
3. How can I use the GCD of 495, 132, 968Calculator?
Out the numbers 495, 132, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.