GCD of 245, 749, 724, 257 Calculator

Given Input numbers are 245, 749, 724, 257

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

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Greatest Common Divisior

We found the divisors of 245, 749, 724, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 749, 724, 257 is 1.

Therefore, GCD of numbers 245, 749, 724, 257 is 1

Given Input Data is 245, 749, 724, 257

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

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 749 is 7 x 107

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 257 is 257

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(245, 749) = 26215

GCD(245, 749) = ( 245 x 749 ) / 26215

GCD(245, 749) = 183505 / 26215

GCD(245, 749) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 724

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

LCM(7, 724) = 5068

GCD(7, 724) = ( 7 x 724 ) / 5068

GCD(7, 724) = 5068 / 5068

GCD(7, 724) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 257

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

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

GCD(1, 257) = 257 / 257

GCD(1, 257) = 1

GCD of 245, 749, 724, 257 is 1

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1. What is the GCD of 245, 749, 724, 257?

GCD of 245, 749, 724, 257 is 1

2. Where do I get the detailed procedure to find GCD of 245, 749, 724, 257?

You can find a detailed procedure to find GCD of 245, 749, 724, 257 on our page.

3. How to find GCD of 245, 749, 724, 257 on a calculator?

You can find the GCD of 245, 749, 724, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.