GCD of 477, 739, 45, 616 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 477, 739, 45, 616 i.e. 1 largest integer that divides all the numbers equally.

GCD of 477, 739, 45, 616 is 1

GCD(477, 739, 45, 616) = 1

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

GCD of

GCD of numbers 477, 739, 45, 616 is 1

GCD(477, 739, 45, 616) = 1

GCD of 477,739,45,616 Calculator

GCDof 477,739,45,616 is 1

Given Input numbers are 477, 739, 45, 616

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

Divisors of 477

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

1, 3, 9, 53, 159, 477

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 477, 739, 45, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 477, 739, 45, 616 is 1.

Therefore, GCD of numbers 477, 739, 45, 616 is 1

Finding GCD of 477, 739, 45, 616 using Prime Factorization

Given Input Data is 477, 739, 45, 616

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

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 739 is 739

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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

Finding GCD of 477, 739, 45, 616 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(477, 739) = 352503

GCD(477, 739) = ( 477 x 739 ) / 352503

GCD(477, 739) = 352503 / 352503

GCD(477, 739) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 616

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

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

GCD(1, 616) = 616 / 616

GCD(1, 616) = 1

GCD of 477, 739, 45, 616 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 477, 739, 45, 616

1. What is the GCD of 477, 739, 45, 616?

GCD of 477, 739, 45, 616 is 1


2. Where do I get the detailed procedure to find GCD of 477, 739, 45, 616?

You can find a detailed procedure to find GCD of 477, 739, 45, 616 on our page.


3. How to find GCD of 477, 739, 45, 616 on a calculator?

You can find the GCD of 477, 739, 45, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.