GCD of 318, 735, 157, 435 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 318, 735, 157, 435 i.e. 1 largest integer that divides all the numbers equally.

GCD of 318, 735, 157, 435 is 1

GCD(318, 735, 157, 435) = 1

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

GCD of

GCD of numbers 318, 735, 157, 435 is 1

GCD(318, 735, 157, 435) = 1

GCD of 318,735,157,435 Calculator

GCDof 318,735,157,435 is 1

Given Input numbers are 318, 735, 157, 435

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

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 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Greatest Common Divisior

We found the divisors of 318, 735, 157, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 735, 157, 435 is 1.

Therefore, GCD of numbers 318, 735, 157, 435 is 1

Finding GCD of 318, 735, 157, 435 using Prime Factorization

Given Input Data is 318, 735, 157, 435

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

Prime Factorization of 318 is 2 x 3 x 53

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

Prime Factorization of 157 is 157

Prime Factorization of 435 is 3 x 5 x 29

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

Finding GCD of 318, 735, 157, 435 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(318, 735) = 77910

GCD(318, 735) = ( 318 x 735 ) / 77910

GCD(318, 735) = 233730 / 77910

GCD(318, 735) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 157

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

LCM(3, 157) = 471

GCD(3, 157) = ( 3 x 157 ) / 471

GCD(3, 157) = 471 / 471

GCD(3, 157) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 435

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

LCM(1, 435) = 435

GCD(1, 435) = ( 1 x 435 ) / 435

GCD(1, 435) = 435 / 435

GCD(1, 435) = 1

GCD of 318, 735, 157, 435 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 318, 735, 157, 435

1. What is the GCD of 318, 735, 157, 435?

GCD of 318, 735, 157, 435 is 1


2. Where do I get the detailed procedure to find GCD of 318, 735, 157, 435?

You can find a detailed procedure to find GCD of 318, 735, 157, 435 on our page.


3. How to find GCD of 318, 735, 157, 435 on a calculator?

You can find the GCD of 318, 735, 157, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.