GCD of 60, 200, 331, 762 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 60, 200, 331, 762 i.e. 1 largest integer that divides all the numbers equally.

GCD of 60, 200, 331, 762 is 1

GCD(60, 200, 331, 762) = 1

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

GCD of

GCD of numbers 60, 200, 331, 762 is 1

GCD(60, 200, 331, 762) = 1

GCD of 60,200,331,762 Calculator

GCDof 60,200,331,762 is 1

Given Input numbers are 60, 200, 331, 762

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 762

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

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

Greatest Common Divisior

We found the divisors of 60, 200, 331, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 200, 331, 762 is 1.

Therefore, GCD of numbers 60, 200, 331, 762 is 1

Finding GCD of 60, 200, 331, 762 using Prime Factorization

Given Input Data is 60, 200, 331, 762

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 331 is 331

Prime Factorization of 762 is 2 x 3 x 127

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

Finding GCD of 60, 200, 331, 762 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(60, 200) = 600

GCD(60, 200) = ( 60 x 200 ) / 600

GCD(60, 200) = 12000 / 600

GCD(60, 200) = 20


Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 331

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

LCM(20, 331) = 6620

GCD(20, 331) = ( 20 x 331 ) / 6620

GCD(20, 331) = 6620 / 6620

GCD(20, 331) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1

GCD of 60, 200, 331, 762 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 60, 200, 331, 762

1. What is the GCD of 60, 200, 331, 762?

GCD of 60, 200, 331, 762 is 1


2. Where do I get the detailed procedure to find GCD of 60, 200, 331, 762?

You can find a detailed procedure to find GCD of 60, 200, 331, 762 on our page.


3. How to find GCD of 60, 200, 331, 762 on a calculator?

You can find the GCD of 60, 200, 331, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.