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GCD of 165, 396, 640, 896 Calculator

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


Online GCD Calculator is useful to find the GCD of 165, 396, 640, 896 quickly. Get the easiest ways to solve the greatest common divisor of 165, 396, 640, 896 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 165, 396, 640, 896 with Factoring?

Given Input numbers are 165, 396, 640, 896

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

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896


GCD of numbers is the greatest common divisor

So, the GCD (165, 396, 640, 896) = 1.

Find GCD of 165, 396, 640, 896 using Prime Factorization

Given numbers are 165, 396, 640, 896

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 165, 396, 640, 896 using LCM Formula

Given numbers are 165, 396, 640, 896

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

Apply this formula for all numbers.

Step1:

LCM(165, 396) = 1980

GCD(165, 396) = ( 165 x 396 ) / 1980

= 165 / 396

= 165


Step2:

LCM(33, 640) = 21120

GCD(33, 640) = ( 33 x 640 ) / 21120

= 33 / 640

= 33


Step3:

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

= 1 / 896

= 1


So, Greatest Common Divisor of 165, 396, 640, 896 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 165, 396, 640, 896

Given numbers are 165, 396, 640, 896
The greatest common divisor of numbers 165, 396, 640, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 396, 640, 896 is 1.

FAQs on GCD of 165, 396, 640, 896 Calculator

1. What is the GCD of 165, 396, 640, 896?

GCD of given numbers 165, 396, 640, 896 is 1


2. How to calculate the greatest common divisor of 165, 396, 640, 896?

We can find the highest common divisor of 165, 396, 640, 896 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 165, 396, 640, 896 i.e 1.


3. How can I use the GCD of 165, 396, 640, 896Calculator?

Out the numbers 165, 396, 640, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.