GCD of 610, 342, 49, 950 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 610, 342, 49, 950 i.e. 1 largest integer that divides all the numbers equally.

GCD of 610, 342, 49, 950 is 1

GCD(610, 342, 49, 950) = 1

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

GCD of

GCD of numbers 610, 342, 49, 950 is 1

GCD(610, 342, 49, 950) = 1

GCD of 610,342,49,950 Calculator

GCDof 610,342,49,950 is 1

Given Input numbers are 610, 342, 49, 950

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

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Greatest Common Divisior

We found the divisors of 610, 342, 49, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 342, 49, 950 is 1.

Therefore, GCD of numbers 610, 342, 49, 950 is 1

Finding GCD of 610, 342, 49, 950 using Prime Factorization

Given Input Data is 610, 342, 49, 950

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

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 49 is 7 x 7

Prime Factorization of 950 is 2 x 5 x 5 x 19

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

Finding GCD of 610, 342, 49, 950 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(610, 342) = 104310

GCD(610, 342) = ( 610 x 342 ) / 104310

GCD(610, 342) = 208620 / 104310

GCD(610, 342) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 950

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

LCM(1, 950) = 950

GCD(1, 950) = ( 1 x 950 ) / 950

GCD(1, 950) = 950 / 950

GCD(1, 950) = 1

GCD of 610, 342, 49, 950 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 610, 342, 49, 950

1. What is the GCD of 610, 342, 49, 950?

GCD of 610, 342, 49, 950 is 1


2. Where do I get the detailed procedure to find GCD of 610, 342, 49, 950?

You can find a detailed procedure to find GCD of 610, 342, 49, 950 on our page.


3. How to find GCD of 610, 342, 49, 950 on a calculator?

You can find the GCD of 610, 342, 49, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.