GCD of 357, 675, 194, 262 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 357, 675, 194, 262 i.e. 1 largest integer that divides all the numbers equally.

GCD of 357, 675, 194, 262 is 1

GCD(357, 675, 194, 262) = 1

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

GCD of

GCD of numbers 357, 675, 194, 262 is 1

GCD(357, 675, 194, 262) = 1

GCD of 357,675,194,262 Calculator

GCDof 357,675,194,262 is 1

Given Input numbers are 357, 675, 194, 262

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Greatest Common Divisior

We found the divisors of 357, 675, 194, 262 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 675, 194, 262 is 1.

Therefore, GCD of numbers 357, 675, 194, 262 is 1

Finding GCD of 357, 675, 194, 262 using Prime Factorization

Given Input Data is 357, 675, 194, 262

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 194 is 2 x 97

Prime Factorization of 262 is 2 x 131

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

Finding GCD of 357, 675, 194, 262 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(357, 675) = 80325

GCD(357, 675) = ( 357 x 675 ) / 80325

GCD(357, 675) = 240975 / 80325

GCD(357, 675) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 194

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

LCM(3, 194) = 582

GCD(3, 194) = ( 3 x 194 ) / 582

GCD(3, 194) = 582 / 582

GCD(3, 194) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 262

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

LCM(1, 262) = 262

GCD(1, 262) = ( 1 x 262 ) / 262

GCD(1, 262) = 262 / 262

GCD(1, 262) = 1

GCD of 357, 675, 194, 262 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 357, 675, 194, 262

1. What is the GCD of 357, 675, 194, 262?

GCD of 357, 675, 194, 262 is 1


2. Where do I get the detailed procedure to find GCD of 357, 675, 194, 262?

You can find a detailed procedure to find GCD of 357, 675, 194, 262 on our page.


3. How to find GCD of 357, 675, 194, 262 on a calculator?

You can find the GCD of 357, 675, 194, 262 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.