GCD of 63, 56, 98, 71 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 63, 56, 98, 71 i.e. 1 largest integer that divides all the numbers equally.

GCD of 63, 56, 98, 71 is 1

GCD(63, 56, 98, 71) = 1

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

GCD of

GCD of numbers 63, 56, 98, 71 is 1

GCD(63, 56, 98, 71) = 1

GCD of 63,56,98,71 Calculator

GCDof 63,56,98,71 is 1

Given Input numbers are 63, 56, 98, 71

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

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Greatest Common Divisior

We found the divisors of 63, 56, 98, 71 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 56, 98, 71 is 1.

Therefore, GCD of numbers 63, 56, 98, 71 is 1

Finding GCD of 63, 56, 98, 71 using Prime Factorization

Given Input Data is 63, 56, 98, 71

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

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 71 is 71

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

Finding GCD of 63, 56, 98, 71 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(63, 56) = 504

GCD(63, 56) = ( 63 x 56 ) / 504

GCD(63, 56) = 3528 / 504

GCD(63, 56) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 98

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

LCM(7, 98) = 98

GCD(7, 98) = ( 7 x 98 ) / 98

GCD(7, 98) = 686 / 98

GCD(7, 98) = 7


Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 71

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

LCM(7, 71) = 497

GCD(7, 71) = ( 7 x 71 ) / 497

GCD(7, 71) = 497 / 497

GCD(7, 71) = 1

GCD of 63, 56, 98, 71 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 63, 56, 98, 71

1. What is the GCD of 63, 56, 98, 71?

GCD of 63, 56, 98, 71 is 1


2. Where do I get the detailed procedure to find GCD of 63, 56, 98, 71?

You can find a detailed procedure to find GCD of 63, 56, 98, 71 on our page.


3. How to find GCD of 63, 56, 98, 71 on a calculator?

You can find the GCD of 63, 56, 98, 71 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.