GCD of 371, 400, 98, 470 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 371, 400, 98, 470 i.e. 1 largest integer that divides all the numbers equally.

GCD of 371, 400, 98, 470 is 1

GCD(371, 400, 98, 470) = 1

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

GCD of

GCD of numbers 371, 400, 98, 470 is 1

GCD(371, 400, 98, 470) = 1

GCD of 371,400,98,470 Calculator

GCDof 371,400,98,470 is 1

Given Input numbers are 371, 400, 98, 470

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

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 371, 400, 98, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 400, 98, 470 is 1.

Therefore, GCD of numbers 371, 400, 98, 470 is 1

Finding GCD of 371, 400, 98, 470 using Prime Factorization

Given Input Data is 371, 400, 98, 470

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

Prime Factorization of 371 is 7 x 53

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 470 is 2 x 5 x 47

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

Finding GCD of 371, 400, 98, 470 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(371, 400) = 148400

GCD(371, 400) = ( 371 x 400 ) / 148400

GCD(371, 400) = 148400 / 148400

GCD(371, 400) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 371, 400, 98, 470 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 371, 400, 98, 470

1. What is the GCD of 371, 400, 98, 470?

GCD of 371, 400, 98, 470 is 1


2. Where do I get the detailed procedure to find GCD of 371, 400, 98, 470?

You can find a detailed procedure to find GCD of 371, 400, 98, 470 on our page.


3. How to find GCD of 371, 400, 98, 470 on a calculator?

You can find the GCD of 371, 400, 98, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.