GCD of 962, 200, 14, 995 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 962, 200, 14, 995 i.e. 1 largest integer that divides all the numbers equally.

GCD of 962, 200, 14, 995 is 1

GCD(962, 200, 14, 995) = 1

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

GCD of

GCD of numbers 962, 200, 14, 995 is 1

GCD(962, 200, 14, 995) = 1

GCD of 962,200,14,995 Calculator

GCDof 962,200,14,995 is 1

Given Input numbers are 962, 200, 14, 995

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

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Greatest Common Divisior

We found the divisors of 962, 200, 14, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 962, 200, 14, 995 is 1.

Therefore, GCD of numbers 962, 200, 14, 995 is 1

Finding GCD of 962, 200, 14, 995 using Prime Factorization

Given Input Data is 962, 200, 14, 995

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

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 14 is 2 x 7

Prime Factorization of 995 is 5 x 199

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

Finding GCD of 962, 200, 14, 995 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(962, 200) = 96200

GCD(962, 200) = ( 962 x 200 ) / 96200

GCD(962, 200) = 192400 / 96200

GCD(962, 200) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 995

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

LCM(2, 995) = 1990

GCD(2, 995) = ( 2 x 995 ) / 1990

GCD(2, 995) = 1990 / 1990

GCD(2, 995) = 1

GCD of 962, 200, 14, 995 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 962, 200, 14, 995

1. What is the GCD of 962, 200, 14, 995?

GCD of 962, 200, 14, 995 is 1


2. Where do I get the detailed procedure to find GCD of 962, 200, 14, 995?

You can find a detailed procedure to find GCD of 962, 200, 14, 995 on our page.


3. How to find GCD of 962, 200, 14, 995 on a calculator?

You can find the GCD of 962, 200, 14, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.