GCD of 560, 128, 69 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 560, 128, 69 i.e. 1 largest integer that divides all the numbers equally.

GCD of 560, 128, 69 is 1

GCD(560, 128, 69) = 1

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

GCD of

GCD of numbers 560, 128, 69 is 1

GCD(560, 128, 69) = 1

GCD of 560,128,69 Calculator

GCDof 560,128,69 is 1

Given Input numbers are 560, 128, 69

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Greatest Common Divisior

We found the divisors of 560, 128, 69 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 128, 69 is 1.

Therefore, GCD of numbers 560, 128, 69 is 1

Finding GCD of 560, 128, 69 using Prime Factorization

Given Input Data is 560, 128, 69

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 69 is 3 x 23

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

Finding GCD of 560, 128, 69 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(560, 128) = 4480

GCD(560, 128) = ( 560 x 128 ) / 4480

GCD(560, 128) = 71680 / 4480

GCD(560, 128) = 16


Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 69

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

LCM(16, 69) = 1104

GCD(16, 69) = ( 16 x 69 ) / 1104

GCD(16, 69) = 1104 / 1104

GCD(16, 69) = 1

GCD of 560, 128, 69 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 560, 128, 69

1. What is the GCD of 560, 128, 69?

GCD of 560, 128, 69 is 1


2. Where do I get the detailed procedure to find GCD of 560, 128, 69?

You can find a detailed procedure to find GCD of 560, 128, 69 on our page.


3. How to find GCD of 560, 128, 69 on a calculator?

You can find the GCD of 560, 128, 69 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.