GCD of 653, 925, 241, 371 Calculator

Given Input numbers are 653, 925, 241, 371

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

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Divisors of 371

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

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 653, 925, 241, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 653, 925, 241, 371 is 1.

Therefore, GCD of numbers 653, 925, 241, 371 is 1

Given Input Data is 653, 925, 241, 371

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

Prime Factorization of 653 is 653

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 241 is 241

Prime Factorization of 371 is 7 x 53

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

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(653, 925) = 604025

GCD(653, 925) = ( 653 x 925 ) / 604025

GCD(653, 925) = 604025 / 604025

GCD(653, 925) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 241

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

LCM(1, 241) = 241

GCD(1, 241) = ( 1 x 241 ) / 241

GCD(1, 241) = 241 / 241

GCD(1, 241) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

GCD of 653, 925, 241, 371 is 1

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1. What is the GCD of 653, 925, 241, 371?

GCD of 653, 925, 241, 371 is 1

2. Where do I get the detailed procedure to find GCD of 653, 925, 241, 371?

You can find a detailed procedure to find GCD of 653, 925, 241, 371 on our page.

3. How to find GCD of 653, 925, 241, 371 on a calculator?

You can find the GCD of 653, 925, 241, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.