GCD of 177, 754, 82, 357 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 177, 754, 82, 357 i.e. 1 largest integer that divides all the numbers equally.

GCD of 177, 754, 82, 357 is 1

GCD(177, 754, 82, 357) = 1

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

GCD of

GCD of numbers 177, 754, 82, 357 is 1

GCD(177, 754, 82, 357) = 1

GCD of 177,754,82,357 Calculator

GCDof 177,754,82,357 is 1

Given Input numbers are 177, 754, 82, 357

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

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 357

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

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

Greatest Common Divisior

We found the divisors of 177, 754, 82, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 754, 82, 357 is 1.

Therefore, GCD of numbers 177, 754, 82, 357 is 1

Finding GCD of 177, 754, 82, 357 using Prime Factorization

Given Input Data is 177, 754, 82, 357

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

Prime Factorization of 177 is 3 x 59

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 82 is 2 x 41

Prime Factorization of 357 is 3 x 7 x 17

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

Finding GCD of 177, 754, 82, 357 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(177, 754) = 133458

GCD(177, 754) = ( 177 x 754 ) / 133458

GCD(177, 754) = 133458 / 133458

GCD(177, 754) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

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

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 1

GCD of 177, 754, 82, 357 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 177, 754, 82, 357

1. What is the GCD of 177, 754, 82, 357?

GCD of 177, 754, 82, 357 is 1


2. Where do I get the detailed procedure to find GCD of 177, 754, 82, 357?

You can find a detailed procedure to find GCD of 177, 754, 82, 357 on our page.


3. How to find GCD of 177, 754, 82, 357 on a calculator?

You can find the GCD of 177, 754, 82, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.