GCD of 628, 409, 967 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 628, 409, 967 i.e. 1 largest integer that divides all the numbers equally.

GCD of 628, 409, 967 is 1

GCD(628, 409, 967) = 1

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

GCD of

GCD of numbers 628, 409, 967 is 1

GCD(628, 409, 967) = 1

GCD of 628,409,967 Calculator

GCDof 628,409,967 is 1

Given Input numbers are 628, 409, 967

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

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 967

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

1, 967

Greatest Common Divisior

We found the divisors of 628, 409, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 409, 967 is 1.

Therefore, GCD of numbers 628, 409, 967 is 1

Finding GCD of 628, 409, 967 using Prime Factorization

Given Input Data is 628, 409, 967

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 409 is 409

Prime Factorization of 967 is 967

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

Finding GCD of 628, 409, 967 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(628, 409) = 256852

GCD(628, 409) = ( 628 x 409 ) / 256852

GCD(628, 409) = 256852 / 256852

GCD(628, 409) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 967

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

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

GCD(1, 967) = 967 / 967

GCD(1, 967) = 1

GCD of 628, 409, 967 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 628, 409, 967

1. What is the GCD of 628, 409, 967?

GCD of 628, 409, 967 is 1


2. Where do I get the detailed procedure to find GCD of 628, 409, 967?

You can find a detailed procedure to find GCD of 628, 409, 967 on our page.


3. How to find GCD of 628, 409, 967 on a calculator?

You can find the GCD of 628, 409, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.