GCD of 949, 955, 72, 412 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 949, 955, 72, 412 i.e. 1 largest integer that divides all the numbers equally.

GCD of 949, 955, 72, 412 is 1

GCD(949, 955, 72, 412) = 1

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

GCD of

GCD of numbers 949, 955, 72, 412 is 1

GCD(949, 955, 72, 412) = 1

GCD of 949,955,72,412 Calculator

GCDof 949,955,72,412 is 1

Given Input numbers are 949, 955, 72, 412

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

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 949, 955, 72, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 955, 72, 412 is 1.

Therefore, GCD of numbers 949, 955, 72, 412 is 1

Finding GCD of 949, 955, 72, 412 using Prime Factorization

Given Input Data is 949, 955, 72, 412

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

Prime Factorization of 949 is 13 x 73

Prime Factorization of 955 is 5 x 191

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 412 is 2 x 2 x 103

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

Finding GCD of 949, 955, 72, 412 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(949, 955) = 906295

GCD(949, 955) = ( 949 x 955 ) / 906295

GCD(949, 955) = 906295 / 906295

GCD(949, 955) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 949, 955, 72, 412 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 949, 955, 72, 412

1. What is the GCD of 949, 955, 72, 412?

GCD of 949, 955, 72, 412 is 1


2. Where do I get the detailed procedure to find GCD of 949, 955, 72, 412?

You can find a detailed procedure to find GCD of 949, 955, 72, 412 on our page.


3. How to find GCD of 949, 955, 72, 412 on a calculator?

You can find the GCD of 949, 955, 72, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.