GCD of 864, 453, 749 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 864, 453, 749 i.e. 1 largest integer that divides all the numbers equally.

GCD of 864, 453, 749 is 1

GCD(864, 453, 749) = 1

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

GCD of

GCD of numbers 864, 453, 749 is 1

GCD(864, 453, 749) = 1

GCD of 864,453,749 Calculator

GCDof 864,453,749 is 1

Given Input numbers are 864, 453, 749

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

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 864, 453, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 453, 749 is 1.

Therefore, GCD of numbers 864, 453, 749 is 1

Finding GCD of 864, 453, 749 using Prime Factorization

Given Input Data is 864, 453, 749

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

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 453 is 3 x 151

Prime Factorization of 749 is 7 x 107

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

Finding GCD of 864, 453, 749 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(864, 453) = 130464

GCD(864, 453) = ( 864 x 453 ) / 130464

GCD(864, 453) = 391392 / 130464

GCD(864, 453) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 749

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

LCM(3, 749) = 2247

GCD(3, 749) = ( 3 x 749 ) / 2247

GCD(3, 749) = 2247 / 2247

GCD(3, 749) = 1

GCD of 864, 453, 749 is 1

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FAQs on GCD of numbers 864, 453, 749

1. What is the GCD of 864, 453, 749?

GCD of 864, 453, 749 is 1

2. Where do I get the detailed procedure to find GCD of 864, 453, 749?

You can find a detailed procedure to find GCD of 864, 453, 749 on our page.

3. How to find GCD of 864, 453, 749 on a calculator?

You can find the GCD of 864, 453, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.