GCD of 303, 707, 61, 380 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 303, 707, 61, 380 i.e. 1 largest integer that divides all the numbers equally.

GCD of 303, 707, 61, 380 is 1

GCD(303, 707, 61, 380) = 1

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

GCD of

GCD of numbers 303, 707, 61, 380 is 1

GCD(303, 707, 61, 380) = 1

GCD of 303,707,61,380 Calculator

GCDof 303,707,61,380 is 1

Given Input numbers are 303, 707, 61, 380

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

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 707

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

1, 7, 101, 707

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 303, 707, 61, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 707, 61, 380 is 1.

Therefore, GCD of numbers 303, 707, 61, 380 is 1

Finding GCD of 303, 707, 61, 380 using Prime Factorization

Given Input Data is 303, 707, 61, 380

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

Prime Factorization of 303 is 3 x 101

Prime Factorization of 707 is 7 x 101

Prime Factorization of 61 is 61

Prime Factorization of 380 is 2 x 2 x 5 x 19

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

Finding GCD of 303, 707, 61, 380 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(303, 707) = 2121

GCD(303, 707) = ( 303 x 707 ) / 2121

GCD(303, 707) = 214221 / 2121

GCD(303, 707) = 101


Step2:

Here we consider the GCD from the above i.e. 101 as first number and the next as 61

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

LCM(101, 61) = 6161

GCD(101, 61) = ( 101 x 61 ) / 6161

GCD(101, 61) = 6161 / 6161

GCD(101, 61) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

GCD of 303, 707, 61, 380 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 303, 707, 61, 380

1. What is the GCD of 303, 707, 61, 380?

GCD of 303, 707, 61, 380 is 1


2. Where do I get the detailed procedure to find GCD of 303, 707, 61, 380?

You can find a detailed procedure to find GCD of 303, 707, 61, 380 on our page.


3. How to find GCD of 303, 707, 61, 380 on a calculator?

You can find the GCD of 303, 707, 61, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.