GCD of 16, 202, 785, 707 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 16, 202, 785, 707 i.e. 1 largest integer that divides all the numbers equally.

GCD of 16, 202, 785, 707 is 1

GCD(16, 202, 785, 707) = 1

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

GCD of

GCD of numbers 16, 202, 785, 707 is 1

GCD(16, 202, 785, 707) = 1

GCD of 16,202,785,707 Calculator

GCDof 16,202,785,707 is 1

Given Input numbers are 16, 202, 785, 707

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 16, 202, 785, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 202, 785, 707 is 1.

Therefore, GCD of numbers 16, 202, 785, 707 is 1

Finding GCD of 16, 202, 785, 707 using Prime Factorization

Given Input Data is 16, 202, 785, 707

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 202 is 2 x 101

Prime Factorization of 785 is 5 x 157

Prime Factorization of 707 is 7 x 101

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

Finding GCD of 16, 202, 785, 707 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(16, 202) = 1616

GCD(16, 202) = ( 16 x 202 ) / 1616

GCD(16, 202) = 3232 / 1616

GCD(16, 202) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 785

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

LCM(2, 785) = 1570

GCD(2, 785) = ( 2 x 785 ) / 1570

GCD(2, 785) = 1570 / 1570

GCD(2, 785) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 707

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

LCM(1, 707) = 707

GCD(1, 707) = ( 1 x 707 ) / 707

GCD(1, 707) = 707 / 707

GCD(1, 707) = 1

GCD of 16, 202, 785, 707 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 16, 202, 785, 707

1. What is the GCD of 16, 202, 785, 707?

GCD of 16, 202, 785, 707 is 1


2. Where do I get the detailed procedure to find GCD of 16, 202, 785, 707?

You can find a detailed procedure to find GCD of 16, 202, 785, 707 on our page.


3. How to find GCD of 16, 202, 785, 707 on a calculator?

You can find the GCD of 16, 202, 785, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.