GCD of 552, 701, 47, 214 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 552, 701, 47, 214 i.e. 1 largest integer that divides all the numbers equally.

GCD of 552, 701, 47, 214 is 1

GCD(552, 701, 47, 214) = 1

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

GCD of

GCD of numbers 552, 701, 47, 214 is 1

GCD(552, 701, 47, 214) = 1

GCD of 552,701,47,214 Calculator

GCDof 552,701,47,214 is 1

Given Input numbers are 552, 701, 47, 214

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

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 701

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

1, 701

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 552, 701, 47, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 701, 47, 214 is 1.

Therefore, GCD of numbers 552, 701, 47, 214 is 1

Finding GCD of 552, 701, 47, 214 using Prime Factorization

Given Input Data is 552, 701, 47, 214

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 701 is 701

Prime Factorization of 47 is 47

Prime Factorization of 214 is 2 x 107

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

Finding GCD of 552, 701, 47, 214 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(552, 701) = 386952

GCD(552, 701) = ( 552 x 701 ) / 386952

GCD(552, 701) = 386952 / 386952

GCD(552, 701) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 552, 701, 47, 214 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 552, 701, 47, 214

1. What is the GCD of 552, 701, 47, 214?

GCD of 552, 701, 47, 214 is 1


2. Where do I get the detailed procedure to find GCD of 552, 701, 47, 214?

You can find a detailed procedure to find GCD of 552, 701, 47, 214 on our page.


3. How to find GCD of 552, 701, 47, 214 on a calculator?

You can find the GCD of 552, 701, 47, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.