GCD of 682, 959, 47, 148 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 682, 959, 47, 148 i.e. 1 largest integer that divides all the numbers equally.

GCD of 682, 959, 47, 148 is 1

GCD(682, 959, 47, 148) = 1

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

GCD of

GCD of numbers 682, 959, 47, 148 is 1

GCD(682, 959, 47, 148) = 1

GCD of 682,959,47,148 Calculator

GCDof 682,959,47,148 is 1

Given Input numbers are 682, 959, 47, 148

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 682, 959, 47, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 959, 47, 148 is 1.

Therefore, GCD of numbers 682, 959, 47, 148 is 1

Finding GCD of 682, 959, 47, 148 using Prime Factorization

Given Input Data is 682, 959, 47, 148

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 959 is 7 x 137

Prime Factorization of 47 is 47

Prime Factorization of 148 is 2 x 2 x 37

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

Finding GCD of 682, 959, 47, 148 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(682, 959) = 654038

GCD(682, 959) = ( 682 x 959 ) / 654038

GCD(682, 959) = 654038 / 654038

GCD(682, 959) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 682, 959, 47, 148 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 682, 959, 47, 148

1. What is the GCD of 682, 959, 47, 148?

GCD of 682, 959, 47, 148 is 1


2. Where do I get the detailed procedure to find GCD of 682, 959, 47, 148?

You can find a detailed procedure to find GCD of 682, 959, 47, 148 on our page.


3. How to find GCD of 682, 959, 47, 148 on a calculator?

You can find the GCD of 682, 959, 47, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.