GCD of 680, 852, 60, 545 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 680, 852, 60, 545 i.e. 1 largest integer that divides all the numbers equally.

GCD of 680, 852, 60, 545 is 1

GCD(680, 852, 60, 545) = 1

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

GCD of

GCD of numbers 680, 852, 60, 545 is 1

GCD(680, 852, 60, 545) = 1

GCD of 680,852,60,545 Calculator

GCDof 680,852,60,545 is 1

Given Input numbers are 680, 852, 60, 545

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Greatest Common Divisior

We found the divisors of 680, 852, 60, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 852, 60, 545 is 1.

Therefore, GCD of numbers 680, 852, 60, 545 is 1

Finding GCD of 680, 852, 60, 545 using Prime Factorization

Given Input Data is 680, 852, 60, 545

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 545 is 5 x 109

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

Finding GCD of 680, 852, 60, 545 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(680, 852) = 144840

GCD(680, 852) = ( 680 x 852 ) / 144840

GCD(680, 852) = 579360 / 144840

GCD(680, 852) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 60

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

LCM(4, 60) = 60

GCD(4, 60) = ( 4 x 60 ) / 60

GCD(4, 60) = 240 / 60

GCD(4, 60) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 545

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

LCM(4, 545) = 2180

GCD(4, 545) = ( 4 x 545 ) / 2180

GCD(4, 545) = 2180 / 2180

GCD(4, 545) = 1

GCD of 680, 852, 60, 545 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 680, 852, 60, 545

1. What is the GCD of 680, 852, 60, 545?

GCD of 680, 852, 60, 545 is 1


2. Where do I get the detailed procedure to find GCD of 680, 852, 60, 545?

You can find a detailed procedure to find GCD of 680, 852, 60, 545 on our page.


3. How to find GCD of 680, 852, 60, 545 on a calculator?

You can find the GCD of 680, 852, 60, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.