GCD of 901, 542, 200, 690 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 901, 542, 200, 690 i.e. 1 largest integer that divides all the numbers equally.

GCD of 901, 542, 200, 690 is 1

GCD(901, 542, 200, 690) = 1

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

GCD of

GCD of numbers 901, 542, 200, 690 is 1

GCD(901, 542, 200, 690) = 1

GCD of 901,542,200,690 Calculator

GCDof 901,542,200,690 is 1

Given Input numbers are 901, 542, 200, 690

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

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

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 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 901, 542, 200, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 542, 200, 690 is 1.

Therefore, GCD of numbers 901, 542, 200, 690 is 1

Finding GCD of 901, 542, 200, 690 using Prime Factorization

Given Input Data is 901, 542, 200, 690

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

Prime Factorization of 901 is 17 x 53

Prime Factorization of 542 is 2 x 271

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

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

Finding GCD of 901, 542, 200, 690 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(901, 542) = 488342

GCD(901, 542) = ( 901 x 542 ) / 488342

GCD(901, 542) = 488342 / 488342

GCD(901, 542) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 901, 542, 200, 690 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 901, 542, 200, 690

1. What is the GCD of 901, 542, 200, 690?

GCD of 901, 542, 200, 690 is 1


2. Where do I get the detailed procedure to find GCD of 901, 542, 200, 690?

You can find a detailed procedure to find GCD of 901, 542, 200, 690 on our page.


3. How to find GCD of 901, 542, 200, 690 on a calculator?

You can find the GCD of 901, 542, 200, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.