GCD of 687, 704, 54, 151 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 687, 704, 54, 151 i.e. 1 largest integer that divides all the numbers equally.

GCD of 687, 704, 54, 151 is 1

GCD(687, 704, 54, 151) = 1

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

GCD of

GCD of numbers 687, 704, 54, 151 is 1

GCD(687, 704, 54, 151) = 1

GCD of 687,704,54,151 Calculator

GCDof 687,704,54,151 is 1

Given Input numbers are 687, 704, 54, 151

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

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Greatest Common Divisior

We found the divisors of 687, 704, 54, 151 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 704, 54, 151 is 1.

Therefore, GCD of numbers 687, 704, 54, 151 is 1

Finding GCD of 687, 704, 54, 151 using Prime Factorization

Given Input Data is 687, 704, 54, 151

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 151 is 151

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

Finding GCD of 687, 704, 54, 151 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(687, 704) = 483648

GCD(687, 704) = ( 687 x 704 ) / 483648

GCD(687, 704) = 483648 / 483648

GCD(687, 704) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 151

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

LCM(1, 151) = 151

GCD(1, 151) = ( 1 x 151 ) / 151

GCD(1, 151) = 151 / 151

GCD(1, 151) = 1

GCD of 687, 704, 54, 151 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 687, 704, 54, 151

1. What is the GCD of 687, 704, 54, 151?

GCD of 687, 704, 54, 151 is 1


2. Where do I get the detailed procedure to find GCD of 687, 704, 54, 151?

You can find a detailed procedure to find GCD of 687, 704, 54, 151 on our page.


3. How to find GCD of 687, 704, 54, 151 on a calculator?

You can find the GCD of 687, 704, 54, 151 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.