GCD of 224, 169, 50, 858 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 224, 169, 50, 858 i.e. 1 largest integer that divides all the numbers equally.

GCD of 224, 169, 50, 858 is 1

GCD(224, 169, 50, 858) = 1

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

GCD of

GCD of numbers 224, 169, 50, 858 is 1

GCD(224, 169, 50, 858) = 1

GCD of 224,169,50,858 Calculator

GCDof 224,169,50,858 is 1

Given Input numbers are 224, 169, 50, 858

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

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Greatest Common Divisior

We found the divisors of 224, 169, 50, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 169, 50, 858 is 1.

Therefore, GCD of numbers 224, 169, 50, 858 is 1

Finding GCD of 224, 169, 50, 858 using Prime Factorization

Given Input Data is 224, 169, 50, 858

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 169 is 13 x 13

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 858 is 2 x 3 x 11 x 13

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

Finding GCD of 224, 169, 50, 858 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(224, 169) = 37856

GCD(224, 169) = ( 224 x 169 ) / 37856

GCD(224, 169) = 37856 / 37856

GCD(224, 169) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 858

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

LCM(1, 858) = 858

GCD(1, 858) = ( 1 x 858 ) / 858

GCD(1, 858) = 858 / 858

GCD(1, 858) = 1

GCD of 224, 169, 50, 858 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 224, 169, 50, 858

1. What is the GCD of 224, 169, 50, 858?

GCD of 224, 169, 50, 858 is 1


2. Where do I get the detailed procedure to find GCD of 224, 169, 50, 858?

You can find a detailed procedure to find GCD of 224, 169, 50, 858 on our page.


3. How to find GCD of 224, 169, 50, 858 on a calculator?

You can find the GCD of 224, 169, 50, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.