GCD of 781, 942, 359, 490 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 781, 942, 359, 490 i.e. 1 largest integer that divides all the numbers equally.

GCD of 781, 942, 359, 490 is 1

GCD(781, 942, 359, 490) = 1

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

GCD of

GCD of numbers 781, 942, 359, 490 is 1

GCD(781, 942, 359, 490) = 1

GCD of 781,942,359,490 Calculator

GCDof 781,942,359,490 is 1

Given Input numbers are 781, 942, 359, 490

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

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Greatest Common Divisior

We found the divisors of 781, 942, 359, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 781, 942, 359, 490 is 1.

Therefore, GCD of numbers 781, 942, 359, 490 is 1

Finding GCD of 781, 942, 359, 490 using Prime Factorization

Given Input Data is 781, 942, 359, 490

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

Prime Factorization of 781 is 11 x 71

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 359 is 359

Prime Factorization of 490 is 2 x 5 x 7 x 7

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

Finding GCD of 781, 942, 359, 490 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(781, 942) = 735702

GCD(781, 942) = ( 781 x 942 ) / 735702

GCD(781, 942) = 735702 / 735702

GCD(781, 942) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

GCD of 781, 942, 359, 490 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 781, 942, 359, 490

1. What is the GCD of 781, 942, 359, 490?

GCD of 781, 942, 359, 490 is 1


2. Where do I get the detailed procedure to find GCD of 781, 942, 359, 490?

You can find a detailed procedure to find GCD of 781, 942, 359, 490 on our page.


3. How to find GCD of 781, 942, 359, 490 on a calculator?

You can find the GCD of 781, 942, 359, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.