GCD of 429, 477, 701, 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 429, 477, 701, 616 i.e. 1 largest integer that divides all the numbers equally.

GCD of 429, 477, 701, 616 is 1

GCD(429, 477, 701, 616) = 1

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

GCD of

GCD of numbers 429, 477, 701, 616 is 1

GCD(429, 477, 701, 616) = 1

GCD of 429,477,701,616 Calculator

GCDof 429,477,701,616 is 1

Given Input numbers are 429, 477, 701, 616

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

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 477

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

1, 3, 9, 53, 159, 477

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

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 429, 477, 701, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 477, 701, 616 is 1.

Therefore, GCD of numbers 429, 477, 701, 616 is 1

Finding GCD of 429, 477, 701, 616 using Prime Factorization

Given Input Data is 429, 477, 701, 616

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

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 701 is 701

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 429, 477, 701, 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(429, 477) = 68211

GCD(429, 477) = ( 429 x 477 ) / 68211

GCD(429, 477) = 204633 / 68211

GCD(429, 477) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 701

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

LCM(3, 701) = 2103

GCD(3, 701) = ( 3 x 701 ) / 2103

GCD(3, 701) = 2103 / 2103

GCD(3, 701) = 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 429, 477, 701, 616 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 429, 477, 701, 616

1. What is the GCD of 429, 477, 701, 616?

GCD of 429, 477, 701, 616 is 1


2. Where do I get the detailed procedure to find GCD of 429, 477, 701, 616?

You can find a detailed procedure to find GCD of 429, 477, 701, 616 on our page.


3. How to find GCD of 429, 477, 701, 616 on a calculator?

You can find the GCD of 429, 477, 701, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.