GCD of 196, 983, 42, 677 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 196, 983, 42, 677 i.e. 1 largest integer that divides all the numbers equally.

GCD of 196, 983, 42, 677 is 1

GCD(196, 983, 42, 677) = 1

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

GCD of

GCD of numbers 196, 983, 42, 677 is 1

GCD(196, 983, 42, 677) = 1

GCD of 196,983,42,677 Calculator

GCDof 196,983,42,677 is 1

Given Input numbers are 196, 983, 42, 677

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 196, 983, 42, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 983, 42, 677 is 1.

Therefore, GCD of numbers 196, 983, 42, 677 is 1

Finding GCD of 196, 983, 42, 677 using Prime Factorization

Given Input Data is 196, 983, 42, 677

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 983 is 983

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 677 is 677

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

Finding GCD of 196, 983, 42, 677 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(196, 983) = 192668

GCD(196, 983) = ( 196 x 983 ) / 192668

GCD(196, 983) = 192668 / 192668

GCD(196, 983) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 196, 983, 42, 677 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 196, 983, 42, 677

1. What is the GCD of 196, 983, 42, 677?

GCD of 196, 983, 42, 677 is 1


2. Where do I get the detailed procedure to find GCD of 196, 983, 42, 677?

You can find a detailed procedure to find GCD of 196, 983, 42, 677 on our page.


3. How to find GCD of 196, 983, 42, 677 on a calculator?

You can find the GCD of 196, 983, 42, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.