GCD of 264, 686, 435, 655 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 264, 686, 435, 655 i.e. 1 largest integer that divides all the numbers equally.

GCD of 264, 686, 435, 655 is 1

GCD(264, 686, 435, 655) = 1

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

GCD of

GCD of numbers 264, 686, 435, 655 is 1

GCD(264, 686, 435, 655) = 1

GCD of 264,686,435,655 Calculator

GCDof 264,686,435,655 is 1

Given Input numbers are 264, 686, 435, 655

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Greatest Common Divisior

We found the divisors of 264, 686, 435, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 686, 435, 655 is 1.

Therefore, GCD of numbers 264, 686, 435, 655 is 1

Finding GCD of 264, 686, 435, 655 using Prime Factorization

Given Input Data is 264, 686, 435, 655

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 655 is 5 x 131

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

Finding GCD of 264, 686, 435, 655 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(264, 686) = 90552

GCD(264, 686) = ( 264 x 686 ) / 90552

GCD(264, 686) = 181104 / 90552

GCD(264, 686) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 435

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

LCM(2, 435) = 870

GCD(2, 435) = ( 2 x 435 ) / 870

GCD(2, 435) = 870 / 870

GCD(2, 435) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 655

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

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

GCD(1, 655) = 655 / 655

GCD(1, 655) = 1

GCD of 264, 686, 435, 655 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 264, 686, 435, 655

1. What is the GCD of 264, 686, 435, 655?

GCD of 264, 686, 435, 655 is 1


2. Where do I get the detailed procedure to find GCD of 264, 686, 435, 655?

You can find a detailed procedure to find GCD of 264, 686, 435, 655 on our page.


3. How to find GCD of 264, 686, 435, 655 on a calculator?

You can find the GCD of 264, 686, 435, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.