GCD of 142, 328, 947, 977 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, 328, 947, 977 i.e. 1 largest integer that divides all the numbers equally.

GCD of 142, 328, 947, 977 is 1

GCD(142, 328, 947, 977) = 1

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

GCD of

GCD of numbers 142, 328, 947, 977 is 1

GCD(142, 328, 947, 977) = 1

GCD of 142,328,947,977 Calculator

GCDof 142,328,947,977 is 1

Given Input numbers are 142, 328, 947, 977

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 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Greatest Common Divisior

We found the divisors of 142, 328, 947, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 328, 947, 977 is 1.

Therefore, GCD of numbers 142, 328, 947, 977 is 1

Finding GCD of 142, 328, 947, 977 using Prime Factorization

Given Input Data is 142, 328, 947, 977

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 947 is 947

Prime Factorization of 977 is 977

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

Finding GCD of 142, 328, 947, 977 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, 328) = 23288

GCD(142, 328) = ( 142 x 328 ) / 23288

GCD(142, 328) = 46576 / 23288

GCD(142, 328) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 947

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

LCM(2, 947) = 1894

GCD(2, 947) = ( 2 x 947 ) / 1894

GCD(2, 947) = 1894 / 1894

GCD(2, 947) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1

GCD of 142, 328, 947, 977 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 142, 328, 947, 977

1. What is the GCD of 142, 328, 947, 977?

GCD of 142, 328, 947, 977 is 1


2. Where do I get the detailed procedure to find GCD of 142, 328, 947, 977?

You can find a detailed procedure to find GCD of 142, 328, 947, 977 on our page.


3. How to find GCD of 142, 328, 947, 977 on a calculator?

You can find the GCD of 142, 328, 947, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.