GCD of 41, 25, 37, 98 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 41, 25, 37, 98 i.e. 1 largest integer that divides all the numbers equally.

GCD of 41, 25, 37, 98 is 1

GCD(41, 25, 37, 98) = 1

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

GCD of

GCD of numbers 41, 25, 37, 98 is 1

GCD(41, 25, 37, 98) = 1

GCD of 41,25,37,98 Calculator

GCDof 41,25,37,98 is 1

Given Input numbers are 41, 25, 37, 98

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

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 98

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

1, 2, 7, 14, 49, 98

Greatest Common Divisior

We found the divisors of 41, 25, 37, 98 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 25, 37, 98 is 1.

Therefore, GCD of numbers 41, 25, 37, 98 is 1

Finding GCD of 41, 25, 37, 98 using Prime Factorization

Given Input Data is 41, 25, 37, 98

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

Prime Factorization of 41 is 41

Prime Factorization of 25 is 5 x 5

Prime Factorization of 37 is 37

Prime Factorization of 98 is 2 x 7 x 7

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

Finding GCD of 41, 25, 37, 98 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(41, 25) = 1025

GCD(41, 25) = ( 41 x 25 ) / 1025

GCD(41, 25) = 1025 / 1025

GCD(41, 25) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1


Step3:

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

GCD of 41, 25, 37, 98 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 41, 25, 37, 98

1. What is the GCD of 41, 25, 37, 98?

GCD of 41, 25, 37, 98 is 1


2. Where do I get the detailed procedure to find GCD of 41, 25, 37, 98?

You can find a detailed procedure to find GCD of 41, 25, 37, 98 on our page.


3. How to find GCD of 41, 25, 37, 98 on a calculator?

You can find the GCD of 41, 25, 37, 98 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.