GCD of 741, 918, 56, 351 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 741, 918, 56, 351 i.e. 1 largest integer that divides all the numbers equally.

GCD of 741, 918, 56, 351 is 1

GCD(741, 918, 56, 351) = 1

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

GCD of

GCD of numbers 741, 918, 56, 351 is 1

GCD(741, 918, 56, 351) = 1

GCD of 741,918,56,351 Calculator

GCDof 741,918,56,351 is 1

Given Input numbers are 741, 918, 56, 351

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

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

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 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 741, 918, 56, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 918, 56, 351 is 1.

Therefore, GCD of numbers 741, 918, 56, 351 is 1

Finding GCD of 741, 918, 56, 351 using Prime Factorization

Given Input Data is 741, 918, 56, 351

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

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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

Prime Factorization of 351 is 3 x 3 x 3 x 13

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

Finding GCD of 741, 918, 56, 351 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(741, 918) = 226746

GCD(741, 918) = ( 741 x 918 ) / 226746

GCD(741, 918) = 680238 / 226746

GCD(741, 918) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 56

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

LCM(3, 56) = 168

GCD(3, 56) = ( 3 x 56 ) / 168

GCD(3, 56) = 168 / 168

GCD(3, 56) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

GCD of 741, 918, 56, 351 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 741, 918, 56, 351

1. What is the GCD of 741, 918, 56, 351?

GCD of 741, 918, 56, 351 is 1


2. Where do I get the detailed procedure to find GCD of 741, 918, 56, 351?

You can find a detailed procedure to find GCD of 741, 918, 56, 351 on our page.


3. How to find GCD of 741, 918, 56, 351 on a calculator?

You can find the GCD of 741, 918, 56, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.