GCD of 491, 735, 43, 134 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 491, 735, 43, 134 i.e. 1 largest integer that divides all the numbers equally.

GCD of 491, 735, 43, 134 is 1

GCD(491, 735, 43, 134) = 1

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

GCD of

GCD of numbers 491, 735, 43, 134 is 1

GCD(491, 735, 43, 134) = 1

GCD of 491,735,43,134 Calculator

GCDof 491,735,43,134 is 1

Given Input numbers are 491, 735, 43, 134

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

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 491, 735, 43, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 735, 43, 134 is 1.

Therefore, GCD of numbers 491, 735, 43, 134 is 1

Finding GCD of 491, 735, 43, 134 using Prime Factorization

Given Input Data is 491, 735, 43, 134

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

Prime Factorization of 491 is 491

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 43 is 43

Prime Factorization of 134 is 2 x 67

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

Finding GCD of 491, 735, 43, 134 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(491, 735) = 360885

GCD(491, 735) = ( 491 x 735 ) / 360885

GCD(491, 735) = 360885 / 360885

GCD(491, 735) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 43

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

LCM(1, 43) = 43

GCD(1, 43) = ( 1 x 43 ) / 43

GCD(1, 43) = 43 / 43

GCD(1, 43) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 134

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

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

GCD(1, 134) = 134 / 134

GCD(1, 134) = 1

GCD of 491, 735, 43, 134 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 491, 735, 43, 134

1. What is the GCD of 491, 735, 43, 134?

GCD of 491, 735, 43, 134 is 1


2. Where do I get the detailed procedure to find GCD of 491, 735, 43, 134?

You can find a detailed procedure to find GCD of 491, 735, 43, 134 on our page.


3. How to find GCD of 491, 735, 43, 134 on a calculator?

You can find the GCD of 491, 735, 43, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.