GCD of 699, 896, 64, 972 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 699, 896, 64, 972 i.e. 1 largest integer that divides all the numbers equally.

GCD of 699, 896, 64, 972 is 1

GCD(699, 896, 64, 972) = 1

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

GCD of

GCD of numbers 699, 896, 64, 972 is 1

GCD(699, 896, 64, 972) = 1

GCD of 699,896,64,972 Calculator

GCDof 699,896,64,972 is 1

Given Input numbers are 699, 896, 64, 972

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

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

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

Divisors of 64

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

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

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 699, 896, 64, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 896, 64, 972 is 1.

Therefore, GCD of numbers 699, 896, 64, 972 is 1

Finding GCD of 699, 896, 64, 972 using Prime Factorization

Given Input Data is 699, 896, 64, 972

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Finding GCD of 699, 896, 64, 972 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(699, 896) = 626304

GCD(699, 896) = ( 699 x 896 ) / 626304

GCD(699, 896) = 626304 / 626304

GCD(699, 896) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 64

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

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

GCD(1, 64) = 64 / 64

GCD(1, 64) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 699, 896, 64, 972 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 699, 896, 64, 972

1. What is the GCD of 699, 896, 64, 972?

GCD of 699, 896, 64, 972 is 1


2. Where do I get the detailed procedure to find GCD of 699, 896, 64, 972?

You can find a detailed procedure to find GCD of 699, 896, 64, 972 on our page.


3. How to find GCD of 699, 896, 64, 972 on a calculator?

You can find the GCD of 699, 896, 64, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.