GCD of 889, 280, 300, 967 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 889, 280, 300, 967 i.e. 1 largest integer that divides all the numbers equally.

GCD of 889, 280, 300, 967 is 1

GCD(889, 280, 300, 967) = 1

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

GCD of

GCD of numbers 889, 280, 300, 967 is 1

GCD(889, 280, 300, 967) = 1

GCD of 889,280,300,967 Calculator

GCDof 889,280,300,967 is 1

Given Input numbers are 889, 280, 300, 967

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

Divisors of 889

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

1, 7, 127, 889

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 889, 280, 300, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 889, 280, 300, 967 is 1.

Therefore, GCD of numbers 889, 280, 300, 967 is 1

Finding GCD of 889, 280, 300, 967 using Prime Factorization

Given Input Data is 889, 280, 300, 967

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

Prime Factorization of 889 is 7 x 127

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 967 is 967

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

Finding GCD of 889, 280, 300, 967 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(889, 280) = 35560

GCD(889, 280) = ( 889 x 280 ) / 35560

GCD(889, 280) = 248920 / 35560

GCD(889, 280) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 300

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

LCM(7, 300) = 2100

GCD(7, 300) = ( 7 x 300 ) / 2100

GCD(7, 300) = 2100 / 2100

GCD(7, 300) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 967

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

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

GCD(1, 967) = 967 / 967

GCD(1, 967) = 1

GCD of 889, 280, 300, 967 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 889, 280, 300, 967

1. What is the GCD of 889, 280, 300, 967?

GCD of 889, 280, 300, 967 is 1


2. Where do I get the detailed procedure to find GCD of 889, 280, 300, 967?

You can find a detailed procedure to find GCD of 889, 280, 300, 967 on our page.


3. How to find GCD of 889, 280, 300, 967 on a calculator?

You can find the GCD of 889, 280, 300, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.