GCD of 220, 289, 42, 751 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 220, 289, 42, 751 i.e. 1 largest integer that divides all the numbers equally.

GCD of 220, 289, 42, 751 is 1

GCD(220, 289, 42, 751) = 1

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

GCD of

GCD of numbers 220, 289, 42, 751 is 1

GCD(220, 289, 42, 751) = 1

GCD of 220,289,42,751 Calculator

GCDof 220,289,42,751 is 1

Given Input numbers are 220, 289, 42, 751

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 751

List of positive integer divisors of 751 that divides 751 without a remainder.

1, 751

Greatest Common Divisior

We found the divisors of 220, 289, 42, 751 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 289, 42, 751 is 1.

Therefore, GCD of numbers 220, 289, 42, 751 is 1

Finding GCD of 220, 289, 42, 751 using Prime Factorization

Given Input Data is 220, 289, 42, 751

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 289 is 17 x 17

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 751 is 751

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

Finding GCD of 220, 289, 42, 751 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(220, 289) = 63580

GCD(220, 289) = ( 220 x 289 ) / 63580

GCD(220, 289) = 63580 / 63580

GCD(220, 289) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 751

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

LCM(1, 751) = 751

GCD(1, 751) = ( 1 x 751 ) / 751

GCD(1, 751) = 751 / 751

GCD(1, 751) = 1

GCD of 220, 289, 42, 751 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 220, 289, 42, 751

1. What is the GCD of 220, 289, 42, 751?

GCD of 220, 289, 42, 751 is 1


2. Where do I get the detailed procedure to find GCD of 220, 289, 42, 751?

You can find a detailed procedure to find GCD of 220, 289, 42, 751 on our page.


3. How to find GCD of 220, 289, 42, 751 on a calculator?

You can find the GCD of 220, 289, 42, 751 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.