GCD of 898, 780, 65, 950 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 898, 780, 65, 950 i.e. 1 largest integer that divides all the numbers equally.

GCD of 898, 780, 65, 950 is 1

GCD(898, 780, 65, 950) = 1

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

GCD of

GCD of numbers 898, 780, 65, 950 is 1

GCD(898, 780, 65, 950) = 1

GCD of 898,780,65,950 Calculator

GCDof 898,780,65,950 is 1

Given Input numbers are 898, 780, 65, 950

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Greatest Common Divisior

We found the divisors of 898, 780, 65, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 780, 65, 950 is 1.

Therefore, GCD of numbers 898, 780, 65, 950 is 1

Finding GCD of 898, 780, 65, 950 using Prime Factorization

Given Input Data is 898, 780, 65, 950

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 65 is 5 x 13

Prime Factorization of 950 is 2 x 5 x 5 x 19

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

Finding GCD of 898, 780, 65, 950 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(898, 780) = 350220

GCD(898, 780) = ( 898 x 780 ) / 350220

GCD(898, 780) = 700440 / 350220

GCD(898, 780) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 950

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

LCM(1, 950) = 950

GCD(1, 950) = ( 1 x 950 ) / 950

GCD(1, 950) = 950 / 950

GCD(1, 950) = 1

GCD of 898, 780, 65, 950 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 898, 780, 65, 950

1. What is the GCD of 898, 780, 65, 950?

GCD of 898, 780, 65, 950 is 1


2. Where do I get the detailed procedure to find GCD of 898, 780, 65, 950?

You can find a detailed procedure to find GCD of 898, 780, 65, 950 on our page.


3. How to find GCD of 898, 780, 65, 950 on a calculator?

You can find the GCD of 898, 780, 65, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.