GCD of 168, 343, 860, 649 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 168, 343, 860, 649 i.e. 1 largest integer that divides all the numbers equally.

GCD of 168, 343, 860, 649 is 1

GCD(168, 343, 860, 649) = 1

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

GCD of

GCD of numbers 168, 343, 860, 649 is 1

GCD(168, 343, 860, 649) = 1

GCD of 168,343,860,649 Calculator

GCDof 168,343,860,649 is 1

Given Input numbers are 168, 343, 860, 649

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

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 168, 343, 860, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 343, 860, 649 is 1.

Therefore, GCD of numbers 168, 343, 860, 649 is 1

Finding GCD of 168, 343, 860, 649 using Prime Factorization

Given Input Data is 168, 343, 860, 649

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

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 649 is 11 x 59

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

Finding GCD of 168, 343, 860, 649 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(168, 343) = 8232

GCD(168, 343) = ( 168 x 343 ) / 8232

GCD(168, 343) = 57624 / 8232

GCD(168, 343) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 860

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

LCM(7, 860) = 6020

GCD(7, 860) = ( 7 x 860 ) / 6020

GCD(7, 860) = 6020 / 6020

GCD(7, 860) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 168, 343, 860, 649 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 168, 343, 860, 649

1. What is the GCD of 168, 343, 860, 649?

GCD of 168, 343, 860, 649 is 1


2. Where do I get the detailed procedure to find GCD of 168, 343, 860, 649?

You can find a detailed procedure to find GCD of 168, 343, 860, 649 on our page.


3. How to find GCD of 168, 343, 860, 649 on a calculator?

You can find the GCD of 168, 343, 860, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.