GCD of 916, 438, 67, 263 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 916, 438, 67, 263 i.e. 1 largest integer that divides all the numbers equally.

GCD of 916, 438, 67, 263 is 1

GCD(916, 438, 67, 263) = 1

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

GCD of

GCD of numbers 916, 438, 67, 263 is 1

GCD(916, 438, 67, 263) = 1

GCD of 916,438,67,263 Calculator

GCDof 916,438,67,263 is 1

Given Input numbers are 916, 438, 67, 263

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Greatest Common Divisior

We found the divisors of 916, 438, 67, 263 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 438, 67, 263 is 1.

Therefore, GCD of numbers 916, 438, 67, 263 is 1

Finding GCD of 916, 438, 67, 263 using Prime Factorization

Given Input Data is 916, 438, 67, 263

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 67 is 67

Prime Factorization of 263 is 263

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

Finding GCD of 916, 438, 67, 263 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(916, 438) = 200604

GCD(916, 438) = ( 916 x 438 ) / 200604

GCD(916, 438) = 401208 / 200604

GCD(916, 438) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 67

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

LCM(2, 67) = 134

GCD(2, 67) = ( 2 x 67 ) / 134

GCD(2, 67) = 134 / 134

GCD(2, 67) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 263

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

LCM(1, 263) = 263

GCD(1, 263) = ( 1 x 263 ) / 263

GCD(1, 263) = 263 / 263

GCD(1, 263) = 1

GCD of 916, 438, 67, 263 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 916, 438, 67, 263

1. What is the GCD of 916, 438, 67, 263?

GCD of 916, 438, 67, 263 is 1


2. Where do I get the detailed procedure to find GCD of 916, 438, 67, 263?

You can find a detailed procedure to find GCD of 916, 438, 67, 263 on our page.


3. How to find GCD of 916, 438, 67, 263 on a calculator?

You can find the GCD of 916, 438, 67, 263 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.