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GCD of 664, 528, 964, 164 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 664, 528, 964, 164 quickly. Get the easiest ways to solve the greatest common divisor of 664, 528, 964, 164 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 664, 528, 964, 164 with Factoring?

Given Input numbers are 664, 528, 964, 164

In the factoring method, we have to find the divisors of all numbers

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164


GCD of numbers is the greatest common divisor

So, the GCD (664, 528, 964, 164) = 4.

Find GCD of 664, 528, 964, 164 using Prime Factorization

Given numbers are 664, 528, 964, 164

The list of prime factors of all numbers are

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 964 are 2 x 2 x 241

Prime factors of 164 are 2 x 2 x 41

The highest common occurrence is 22

Therefore, GCD of 664, 528, 964, 164 is 4.

Steps to Calculate GCD of 664, 528, 964, 164 using LCM Formula

Given numbers are 664, 528, 964, 164

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(664, 528) = 43824

GCD(664, 528) = ( 664 x 528 ) / 43824

= 664 / 528

= 664


Step2:

LCM(8, 964) = 1928

GCD(8, 964) = ( 8 x 964 ) / 1928

= 8 / 964

= 8


Step3:

LCM(4, 164) = 164

GCD(4, 164) = ( 4 x 164 ) / 164

= 4 / 164

= 4


So, Greatest Common Divisor of 664, 528, 964, 164 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 664, 528, 964, 164

Given numbers are 664, 528, 964, 164
The greatest common divisor of numbers 664, 528, 964, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 528, 964, 164 is 4.

FAQs on GCD of 664, 528, 964, 164 Calculator

1. What is the GCD of 664, 528, 964, 164?

GCD of given numbers 664, 528, 964, 164 is 4


2. How to calculate the greatest common divisor of 664, 528, 964, 164?

We can find the highest common divisor of 664, 528, 964, 164 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 664, 528, 964, 164 i.e 4.


3. How can I use the GCD of 664, 528, 964, 164Calculator?

Out the numbers 664, 528, 964, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.