GCD of 30, 616, 701, 252 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 30, 616, 701, 252 i.e. 1 largest integer that divides all the numbers equally.

GCD of 30, 616, 701, 252 is 1

GCD(30, 616, 701, 252) = 1

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

GCD of

GCD of numbers 30, 616, 701, 252 is 1

GCD(30, 616, 701, 252) = 1

GCD of 30,616,701,252 Calculator

GCDof 30,616,701,252 is 1

Given Input numbers are 30, 616, 701, 252

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Greatest Common Divisior

We found the divisors of 30, 616, 701, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 616, 701, 252 is 1.

Therefore, GCD of numbers 30, 616, 701, 252 is 1

Finding GCD of 30, 616, 701, 252 using Prime Factorization

Given Input Data is 30, 616, 701, 252

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 701 is 701

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

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

Finding GCD of 30, 616, 701, 252 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(30, 616) = 9240

GCD(30, 616) = ( 30 x 616 ) / 9240

GCD(30, 616) = 18480 / 9240

GCD(30, 616) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 701

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

LCM(2, 701) = 1402

GCD(2, 701) = ( 2 x 701 ) / 1402

GCD(2, 701) = 1402 / 1402

GCD(2, 701) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 252

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

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

GCD(1, 252) = 252 / 252

GCD(1, 252) = 1

GCD of 30, 616, 701, 252 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 30, 616, 701, 252

1. What is the GCD of 30, 616, 701, 252?

GCD of 30, 616, 701, 252 is 1


2. Where do I get the detailed procedure to find GCD of 30, 616, 701, 252?

You can find a detailed procedure to find GCD of 30, 616, 701, 252 on our page.


3. How to find GCD of 30, 616, 701, 252 on a calculator?

You can find the GCD of 30, 616, 701, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.