GCD of 167, 264, 351, 416 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 167, 264, 351, 416 i.e. 1 largest integer that divides all the numbers equally.

GCD of 167, 264, 351, 416 is 1

GCD(167, 264, 351, 416) = 1

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

GCD of

GCD of numbers 167, 264, 351, 416 is 1

GCD(167, 264, 351, 416) = 1

GCD of 167,264,351,416 Calculator

GCDof 167,264,351,416 is 1

Given Input numbers are 167, 264, 351, 416

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

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Greatest Common Divisior

We found the divisors of 167, 264, 351, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 167, 264, 351, 416 is 1.

Therefore, GCD of numbers 167, 264, 351, 416 is 1

Finding GCD of 167, 264, 351, 416 using Prime Factorization

Given Input Data is 167, 264, 351, 416

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

Prime Factorization of 167 is 167

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

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

Finding GCD of 167, 264, 351, 416 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(167, 264) = 44088

GCD(167, 264) = ( 167 x 264 ) / 44088

GCD(167, 264) = 44088 / 44088

GCD(167, 264) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

GCD of 167, 264, 351, 416 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 167, 264, 351, 416

1. What is the GCD of 167, 264, 351, 416?

GCD of 167, 264, 351, 416 is 1


2. Where do I get the detailed procedure to find GCD of 167, 264, 351, 416?

You can find a detailed procedure to find GCD of 167, 264, 351, 416 on our page.


3. How to find GCD of 167, 264, 351, 416 on a calculator?

You can find the GCD of 167, 264, 351, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.