GCD of 925, 655, 743, 380 Calculator

Given Input numbers are 925, 655, 743, 380

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

Divisors of 925

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

1, 5, 25, 37, 185, 925

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 925, 655, 743, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 925, 655, 743, 380 is 1.

Therefore, GCD of numbers 925, 655, 743, 380 is 1

Given Input Data is 925, 655, 743, 380

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

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 655 is 5 x 131

Prime Factorization of 743 is 743

Prime Factorization of 380 is 2 x 2 x 5 x 19

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(925, 655) = 121175

GCD(925, 655) = ( 925 x 655 ) / 121175

GCD(925, 655) = 605875 / 121175

GCD(925, 655) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 743

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

LCM(5, 743) = 3715

GCD(5, 743) = ( 5 x 743 ) / 3715

GCD(5, 743) = 3715 / 3715

GCD(5, 743) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

GCD of 925, 655, 743, 380 is 1

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1. What is the GCD of 925, 655, 743, 380?

GCD of 925, 655, 743, 380 is 1

2. Where do I get the detailed procedure to find GCD of 925, 655, 743, 380?

You can find a detailed procedure to find GCD of 925, 655, 743, 380 on our page.

3. How to find GCD of 925, 655, 743, 380 on a calculator?

You can find the GCD of 925, 655, 743, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.