GCD of 371, 257, 689, 925 Calculator

Given Input numbers are 371, 257, 689, 925

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 257

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

1, 257

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 925

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

1, 5, 25, 37, 185, 925

Greatest Common Divisior

We found the divisors of 371, 257, 689, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 257, 689, 925 is 1.

Therefore, GCD of numbers 371, 257, 689, 925 is 1

Given Input Data is 371, 257, 689, 925

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

Prime Factorization of 371 is 7 x 53

Prime Factorization of 257 is 257

Prime Factorization of 689 is 13 x 53

Prime Factorization of 925 is 5 x 5 x 37

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(371, 257) = 95347

GCD(371, 257) = ( 371 x 257 ) / 95347

GCD(371, 257) = 95347 / 95347

GCD(371, 257) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 925

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

LCM(1, 925) = 925

GCD(1, 925) = ( 1 x 925 ) / 925

GCD(1, 925) = 925 / 925

GCD(1, 925) = 1

GCD of 371, 257, 689, 925 is 1

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1. What is the GCD of 371, 257, 689, 925?

GCD of 371, 257, 689, 925 is 1

2. Where do I get the detailed procedure to find GCD of 371, 257, 689, 925?

You can find a detailed procedure to find GCD of 371, 257, 689, 925 on our page.

3. How to find GCD of 371, 257, 689, 925 on a calculator?

You can find the GCD of 371, 257, 689, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.