GCD of 92, 16, 64 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 92, 16, 64 i.e. 4 largest integer that divides all the numbers equally.

GCD of 92, 16, 64 is 4

GCD(92, 16, 64) = 4

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 92, 16, 64 is 4

GCD(92, 16, 64) = 4

GCD of 92,16,64 Calculator

GCDof 92,16,64 is 4

Given Input numbers are 92, 16, 64

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Greatest Common Divisior

We found the divisors of 92, 16, 64 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 92, 16, 64 is 4.

Therefore, GCD of numbers 92, 16, 64 is 4

Finding GCD of 92, 16, 64 using Prime Factorization

Given Input Data is 92, 16, 64

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 92, 16, 64 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(92, 16) = 368

GCD(92, 16) = ( 92 x 16 ) / 368

GCD(92, 16) = 1472 / 368

GCD(92, 16) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 64

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

LCM(4, 64) = 64

GCD(4, 64) = ( 4 x 64 ) / 64

GCD(4, 64) = 256 / 64

GCD(4, 64) = 4

GCD of 92, 16, 64 is 4

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 92, 16, 64

1. What is the GCD of 92, 16, 64?

GCD of 92, 16, 64 is 4

2. Where do I get the detailed procedure to find GCD of 92, 16, 64?

You can find a detailed procedure to find GCD of 92, 16, 64 on our page.

3. How to find GCD of 92, 16, 64 on a calculator?

You can find the GCD of 92, 16, 64 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.