GCD of 940, 950, 95, 224 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 940, 950, 95, 224 i.e. 1 largest integer that divides all the numbers equally.

GCD of 940, 950, 95, 224 is 1

GCD(940, 950, 95, 224) = 1

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

GCD of

GCD of numbers 940, 950, 95, 224 is 1

GCD(940, 950, 95, 224) = 1

GCD of 940,950,95,224 Calculator

GCDof 940,950,95,224 is 1

Given Input numbers are 940, 950, 95, 224

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

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 940, 950, 95, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 950, 95, 224 is 1.

Therefore, GCD of numbers 940, 950, 95, 224 is 1

Finding GCD of 940, 950, 95, 224 using Prime Factorization

Given Input Data is 940, 950, 95, 224

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

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

Prime Factorization of 95 is 5 x 19

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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

Finding GCD of 940, 950, 95, 224 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(940, 950) = 89300

GCD(940, 950) = ( 940 x 950 ) / 89300

GCD(940, 950) = 893000 / 89300

GCD(940, 950) = 10


Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 95

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

LCM(10, 95) = 190

GCD(10, 95) = ( 10 x 95 ) / 190

GCD(10, 95) = 950 / 190

GCD(10, 95) = 5


Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 224

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

LCM(5, 224) = 1120

GCD(5, 224) = ( 5 x 224 ) / 1120

GCD(5, 224) = 1120 / 1120

GCD(5, 224) = 1

GCD of 940, 950, 95, 224 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 940, 950, 95, 224

1. What is the GCD of 940, 950, 95, 224?

GCD of 940, 950, 95, 224 is 1


2. Where do I get the detailed procedure to find GCD of 940, 950, 95, 224?

You can find a detailed procedure to find GCD of 940, 950, 95, 224 on our page.


3. How to find GCD of 940, 950, 95, 224 on a calculator?

You can find the GCD of 940, 950, 95, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.