GCD of 142, 454, 98, 969 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 142, 454, 98, 969 i.e. 1 largest integer that divides all the numbers equally.

GCD of 142, 454, 98, 969 is 1

GCD(142, 454, 98, 969) = 1

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

GCD of

GCD of numbers 142, 454, 98, 969 is 1

GCD(142, 454, 98, 969) = 1

GCD of 142,454,98,969 Calculator

GCDof 142,454,98,969 is 1

Given Input numbers are 142, 454, 98, 969

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 142, 454, 98, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 454, 98, 969 is 1.

Therefore, GCD of numbers 142, 454, 98, 969 is 1

Finding GCD of 142, 454, 98, 969 using Prime Factorization

Given Input Data is 142, 454, 98, 969

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 454 is 2 x 227

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 969 is 3 x 17 x 19

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

Finding GCD of 142, 454, 98, 969 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(142, 454) = 32234

GCD(142, 454) = ( 142 x 454 ) / 32234

GCD(142, 454) = 64468 / 32234

GCD(142, 454) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 969

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

LCM(2, 969) = 1938

GCD(2, 969) = ( 2 x 969 ) / 1938

GCD(2, 969) = 1938 / 1938

GCD(2, 969) = 1

GCD of 142, 454, 98, 969 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 142, 454, 98, 969

1. What is the GCD of 142, 454, 98, 969?

GCD of 142, 454, 98, 969 is 1


2. Where do I get the detailed procedure to find GCD of 142, 454, 98, 969?

You can find a detailed procedure to find GCD of 142, 454, 98, 969 on our page.


3. How to find GCD of 142, 454, 98, 969 on a calculator?

You can find the GCD of 142, 454, 98, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.