GCD of 967, 431, 10, 501 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 967, 431, 10, 501 i.e. 1 largest integer that divides all the numbers equally.

GCD of 967, 431, 10, 501 is 1

GCD(967, 431, 10, 501) = 1

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

GCD of

GCD of numbers 967, 431, 10, 501 is 1

GCD(967, 431, 10, 501) = 1

GCD of 967,431,10,501 Calculator

GCDof 967,431,10,501 is 1

Given Input numbers are 967, 431, 10, 501

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

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 967, 431, 10, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 431, 10, 501 is 1.

Therefore, GCD of numbers 967, 431, 10, 501 is 1

Finding GCD of 967, 431, 10, 501 using Prime Factorization

Given Input Data is 967, 431, 10, 501

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

Prime Factorization of 967 is 967

Prime Factorization of 431 is 431

Prime Factorization of 10 is 2 x 5

Prime Factorization of 501 is 3 x 167

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

Finding GCD of 967, 431, 10, 501 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(967, 431) = 416777

GCD(967, 431) = ( 967 x 431 ) / 416777

GCD(967, 431) = 416777 / 416777

GCD(967, 431) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

GCD of 967, 431, 10, 501 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 967, 431, 10, 501

1. What is the GCD of 967, 431, 10, 501?

GCD of 967, 431, 10, 501 is 1


2. Where do I get the detailed procedure to find GCD of 967, 431, 10, 501?

You can find a detailed procedure to find GCD of 967, 431, 10, 501 on our page.


3. How to find GCD of 967, 431, 10, 501 on a calculator?

You can find the GCD of 967, 431, 10, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.