GCD of 245, 429, 87, 678 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 245, 429, 87, 678 i.e. 1 largest integer that divides all the numbers equally.

GCD of 245, 429, 87, 678 is 1

GCD(245, 429, 87, 678) = 1

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

GCD of

GCD of numbers 245, 429, 87, 678 is 1

GCD(245, 429, 87, 678) = 1

GCD of 245,429,87,678 Calculator

GCDof 245,429,87,678 is 1

Given Input numbers are 245, 429, 87, 678

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

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 245, 429, 87, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 429, 87, 678 is 1.

Therefore, GCD of numbers 245, 429, 87, 678 is 1

Finding GCD of 245, 429, 87, 678 using Prime Factorization

Given Input Data is 245, 429, 87, 678

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

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 87 is 3 x 29

Prime Factorization of 678 is 2 x 3 x 113

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

Finding GCD of 245, 429, 87, 678 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(245, 429) = 105105

GCD(245, 429) = ( 245 x 429 ) / 105105

GCD(245, 429) = 105105 / 105105

GCD(245, 429) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 245, 429, 87, 678 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 245, 429, 87, 678

1. What is the GCD of 245, 429, 87, 678?

GCD of 245, 429, 87, 678 is 1


2. Where do I get the detailed procedure to find GCD of 245, 429, 87, 678?

You can find a detailed procedure to find GCD of 245, 429, 87, 678 on our page.


3. How to find GCD of 245, 429, 87, 678 on a calculator?

You can find the GCD of 245, 429, 87, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.