GCD of 680, 925, 371, 657 Calculator

Given Input numbers are 680, 925, 371, 657

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 925

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

1, 5, 25, 37, 185, 925

Divisors of 371

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

1, 7, 53, 371

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 680, 925, 371, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 925, 371, 657 is 1.

Therefore, GCD of numbers 680, 925, 371, 657 is 1

Given Input Data is 680, 925, 371, 657

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 371 is 7 x 53

Prime Factorization of 657 is 3 x 3 x 73

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(680, 925) = 125800

GCD(680, 925) = ( 680 x 925 ) / 125800

GCD(680, 925) = 629000 / 125800

GCD(680, 925) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 371

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

LCM(5, 371) = 1855

GCD(5, 371) = ( 5 x 371 ) / 1855

GCD(5, 371) = 1855 / 1855

GCD(5, 371) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 680, 925, 371, 657 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 590, 311, 874
• GCD of 255, 998, 491, 904
• GCD of 668, 992, 787, 861
• GCD of 810, 292, 652, 309
• GCD of 561, 133, 107, 547

1. What is the GCD of 680, 925, 371, 657?

GCD of 680, 925, 371, 657 is 1

2. Where do I get the detailed procedure to find GCD of 680, 925, 371, 657?

You can find a detailed procedure to find GCD of 680, 925, 371, 657 on our page.

3. How to find GCD of 680, 925, 371, 657 on a calculator?

You can find the GCD of 680, 925, 371, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.