GCD of 96, 56, 61, 43 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 96, 56, 61, 43 i.e. 1 largest integer that divides all the numbers equally.

GCD of 96, 56, 61, 43 is 1

GCD(96, 56, 61, 43) = 1

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

GCD of

GCD of numbers 96, 56, 61, 43 is 1

GCD(96, 56, 61, 43) = 1

GCD of 96,56,61,43 Calculator

GCDof 96,56,61,43 is 1

Given Input numbers are 96, 56, 61, 43

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Greatest Common Divisior

We found the divisors of 96, 56, 61, 43 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 56, 61, 43 is 1.

Therefore, GCD of numbers 96, 56, 61, 43 is 1

Finding GCD of 96, 56, 61, 43 using Prime Factorization

Given Input Data is 96, 56, 61, 43

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 61 is 61

Prime Factorization of 43 is 43

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

Finding GCD of 96, 56, 61, 43 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(96, 56) = 672

GCD(96, 56) = ( 96 x 56 ) / 672

GCD(96, 56) = 5376 / 672

GCD(96, 56) = 8


Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 61

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

LCM(8, 61) = 488

GCD(8, 61) = ( 8 x 61 ) / 488

GCD(8, 61) = 488 / 488

GCD(8, 61) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 43

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

LCM(1, 43) = 43

GCD(1, 43) = ( 1 x 43 ) / 43

GCD(1, 43) = 43 / 43

GCD(1, 43) = 1

GCD of 96, 56, 61, 43 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 96, 56, 61, 43

1. What is the GCD of 96, 56, 61, 43?

GCD of 96, 56, 61, 43 is 1


2. Where do I get the detailed procedure to find GCD of 96, 56, 61, 43?

You can find a detailed procedure to find GCD of 96, 56, 61, 43 on our page.


3. How to find GCD of 96, 56, 61, 43 on a calculator?

You can find the GCD of 96, 56, 61, 43 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.