GCD of 66, 126, 311, 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 66, 126, 311, 950 i.e. 1 largest integer that divides all the numbers equally.

GCD of 66, 126, 311, 950 is 1

GCD(66, 126, 311, 950) = 1

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

GCD of

GCD of numbers 66, 126, 311, 950 is 1

GCD(66, 126, 311, 950) = 1

GCD of 66,126,311,950 Calculator

GCDof 66,126,311,950 is 1

Given Input numbers are 66, 126, 311, 950

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

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 66, 126, 311, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 126, 311, 950 is 1.

Therefore, GCD of numbers 66, 126, 311, 950 is 1

Finding GCD of 66, 126, 311, 950 using Prime Factorization

Given Input Data is 66, 126, 311, 950

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 311 is 311

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 66, 126, 311, 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(66, 126) = 1386

GCD(66, 126) = ( 66 x 126 ) / 1386

GCD(66, 126) = 8316 / 1386

GCD(66, 126) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 311

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

LCM(6, 311) = 1866

GCD(6, 311) = ( 6 x 311 ) / 1866

GCD(6, 311) = 1866 / 1866

GCD(6, 311) = 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 66, 126, 311, 950 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 66, 126, 311, 950

1. What is the GCD of 66, 126, 311, 950?

GCD of 66, 126, 311, 950 is 1


2. Where do I get the detailed procedure to find GCD of 66, 126, 311, 950?

You can find a detailed procedure to find GCD of 66, 126, 311, 950 on our page.


3. How to find GCD of 66, 126, 311, 950 on a calculator?

You can find the GCD of 66, 126, 311, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.