GCD of 577, 762, 41, 480 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 577, 762, 41, 480 i.e. 1 largest integer that divides all the numbers equally.

GCD of 577, 762, 41, 480 is 1

GCD(577, 762, 41, 480) = 1

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

GCD of

GCD of numbers 577, 762, 41, 480 is 1

GCD(577, 762, 41, 480) = 1

GCD of 577,762,41,480 Calculator

GCDof 577,762,41,480 is 1

Given Input numbers are 577, 762, 41, 480

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

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 577, 762, 41, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 577, 762, 41, 480 is 1.

Therefore, GCD of numbers 577, 762, 41, 480 is 1

Finding GCD of 577, 762, 41, 480 using Prime Factorization

Given Input Data is 577, 762, 41, 480

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

Prime Factorization of 577 is 577

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 41 is 41

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Finding GCD of 577, 762, 41, 480 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(577, 762) = 439674

GCD(577, 762) = ( 577 x 762 ) / 439674

GCD(577, 762) = 439674 / 439674

GCD(577, 762) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 577, 762, 41, 480 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 577, 762, 41, 480

1. What is the GCD of 577, 762, 41, 480?

GCD of 577, 762, 41, 480 is 1


2. Where do I get the detailed procedure to find GCD of 577, 762, 41, 480?

You can find a detailed procedure to find GCD of 577, 762, 41, 480 on our page.


3. How to find GCD of 577, 762, 41, 480 on a calculator?

You can find the GCD of 577, 762, 41, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.