GCD of 413, 316, 77, 350 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 413, 316, 77, 350 i.e. 1 largest integer that divides all the numbers equally.

GCD of 413, 316, 77, 350 is 1

GCD(413, 316, 77, 350) = 1

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

GCD of

GCD of numbers 413, 316, 77, 350 is 1

GCD(413, 316, 77, 350) = 1

GCD of 413,316,77,350 Calculator

GCDof 413,316,77,350 is 1

Given Input numbers are 413, 316, 77, 350

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

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 413, 316, 77, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 316, 77, 350 is 1.

Therefore, GCD of numbers 413, 316, 77, 350 is 1

Finding GCD of 413, 316, 77, 350 using Prime Factorization

Given Input Data is 413, 316, 77, 350

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 77 is 7 x 11

Prime Factorization of 350 is 2 x 5 x 5 x 7

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

Finding GCD of 413, 316, 77, 350 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(413, 316) = 130508

GCD(413, 316) = ( 413 x 316 ) / 130508

GCD(413, 316) = 130508 / 130508

GCD(413, 316) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 1

GCD of 413, 316, 77, 350 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 413, 316, 77, 350

1. What is the GCD of 413, 316, 77, 350?

GCD of 413, 316, 77, 350 is 1


2. Where do I get the detailed procedure to find GCD of 413, 316, 77, 350?

You can find a detailed procedure to find GCD of 413, 316, 77, 350 on our page.


3. How to find GCD of 413, 316, 77, 350 on a calculator?

You can find the GCD of 413, 316, 77, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.