GCD of 435, 380, 77, 889 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 435, 380, 77, 889 i.e. 1 largest integer that divides all the numbers equally.

GCD of 435, 380, 77, 889 is 1

GCD(435, 380, 77, 889) = 1

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

GCD of

GCD of numbers 435, 380, 77, 889 is 1

GCD(435, 380, 77, 889) = 1

GCD of 435,380,77,889 Calculator

GCDof 435,380,77,889 is 1

Given Input numbers are 435, 380, 77, 889

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

Divisors of 435

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

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 77

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

1, 7, 11, 77

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 435, 380, 77, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 435, 380, 77, 889 is 1.

Therefore, GCD of numbers 435, 380, 77, 889 is 1

Finding GCD of 435, 380, 77, 889 using Prime Factorization

Given Input Data is 435, 380, 77, 889

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

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 77 is 7 x 11

Prime Factorization of 889 is 7 x 127

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

Finding GCD of 435, 380, 77, 889 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(435, 380) = 33060

GCD(435, 380) = ( 435 x 380 ) / 33060

GCD(435, 380) = 165300 / 33060

GCD(435, 380) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 77

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

LCM(5, 77) = 385

GCD(5, 77) = ( 5 x 77 ) / 385

GCD(5, 77) = 385 / 385

GCD(5, 77) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 889

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

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

GCD(1, 889) = 889 / 889

GCD(1, 889) = 1

GCD of 435, 380, 77, 889 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 435, 380, 77, 889

1. What is the GCD of 435, 380, 77, 889?

GCD of 435, 380, 77, 889 is 1


2. Where do I get the detailed procedure to find GCD of 435, 380, 77, 889?

You can find a detailed procedure to find GCD of 435, 380, 77, 889 on our page.


3. How to find GCD of 435, 380, 77, 889 on a calculator?

You can find the GCD of 435, 380, 77, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.