GCD of 745, 477, 553 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 745, 477, 553 i.e. 1 largest integer that divides all the numbers equally.

GCD of 745, 477, 553 is 1

GCD(745, 477, 553) = 1

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

GCD of

GCD of numbers 745, 477, 553 is 1

GCD(745, 477, 553) = 1

GCD of 745,477,553 Calculator

GCDof 745,477,553 is 1

Given Input numbers are 745, 477, 553

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 745, 477, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 477, 553 is 1.

Therefore, GCD of numbers 745, 477, 553 is 1

Finding GCD of 745, 477, 553 using Prime Factorization

Given Input Data is 745, 477, 553

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 553 is 7 x 79

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

Finding GCD of 745, 477, 553 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(745, 477) = 355365

GCD(745, 477) = ( 745 x 477 ) / 355365

GCD(745, 477) = 355365 / 355365

GCD(745, 477) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 745, 477, 553 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 745, 477, 553

1. What is the GCD of 745, 477, 553?

GCD of 745, 477, 553 is 1


2. Where do I get the detailed procedure to find GCD of 745, 477, 553?

You can find a detailed procedure to find GCD of 745, 477, 553 on our page.


3. How to find GCD of 745, 477, 553 on a calculator?

You can find the GCD of 745, 477, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.