GCD of 693, 343, 952, 912 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 693, 343, 952, 912 i.e. 1 largest integer that divides all the numbers equally.

GCD of 693, 343, 952, 912 is 1

GCD(693, 343, 952, 912) = 1

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

GCD of

GCD of numbers 693, 343, 952, 912 is 1

GCD(693, 343, 952, 912) = 1

GCD of 693,343,952,912 Calculator

GCDof 693,343,952,912 is 1

Given Input numbers are 693, 343, 952, 912

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

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Greatest Common Divisior

We found the divisors of 693, 343, 952, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 343, 952, 912 is 1.

Therefore, GCD of numbers 693, 343, 952, 912 is 1

Finding GCD of 693, 343, 952, 912 using Prime Factorization

Given Input Data is 693, 343, 952, 912

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

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

Finding GCD of 693, 343, 952, 912 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(693, 343) = 33957

GCD(693, 343) = ( 693 x 343 ) / 33957

GCD(693, 343) = 237699 / 33957

GCD(693, 343) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 952

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

LCM(7, 952) = 952

GCD(7, 952) = ( 7 x 952 ) / 952

GCD(7, 952) = 6664 / 952

GCD(7, 952) = 7


Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 912

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

LCM(7, 912) = 6384

GCD(7, 912) = ( 7 x 912 ) / 6384

GCD(7, 912) = 6384 / 6384

GCD(7, 912) = 1

GCD of 693, 343, 952, 912 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 693, 343, 952, 912

1. What is the GCD of 693, 343, 952, 912?

GCD of 693, 343, 952, 912 is 1


2. Where do I get the detailed procedure to find GCD of 693, 343, 952, 912?

You can find a detailed procedure to find GCD of 693, 343, 952, 912 on our page.


3. How to find GCD of 693, 343, 952, 912 on a calculator?

You can find the GCD of 693, 343, 952, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.