GCD of 377, 414, 10, 436 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 377, 414, 10, 436 i.e. 1 largest integer that divides all the numbers equally.

GCD of 377, 414, 10, 436 is 1

GCD(377, 414, 10, 436) = 1

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

GCD of

GCD of numbers 377, 414, 10, 436 is 1

GCD(377, 414, 10, 436) = 1

GCD of 377,414,10,436 Calculator

GCDof 377,414,10,436 is 1

Given Input numbers are 377, 414, 10, 436

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

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Greatest Common Divisior

We found the divisors of 377, 414, 10, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 377, 414, 10, 436 is 1.

Therefore, GCD of numbers 377, 414, 10, 436 is 1

Finding GCD of 377, 414, 10, 436 using Prime Factorization

Given Input Data is 377, 414, 10, 436

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

Prime Factorization of 377 is 13 x 29

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 10 is 2 x 5

Prime Factorization of 436 is 2 x 2 x 109

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

Finding GCD of 377, 414, 10, 436 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(377, 414) = 156078

GCD(377, 414) = ( 377 x 414 ) / 156078

GCD(377, 414) = 156078 / 156078

GCD(377, 414) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 436

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

LCM(1, 436) = 436

GCD(1, 436) = ( 1 x 436 ) / 436

GCD(1, 436) = 436 / 436

GCD(1, 436) = 1

GCD of 377, 414, 10, 436 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 377, 414, 10, 436

1. What is the GCD of 377, 414, 10, 436?

GCD of 377, 414, 10, 436 is 1


2. Where do I get the detailed procedure to find GCD of 377, 414, 10, 436?

You can find a detailed procedure to find GCD of 377, 414, 10, 436 on our page.


3. How to find GCD of 377, 414, 10, 436 on a calculator?

You can find the GCD of 377, 414, 10, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.