GCD of 719, 925, 380, 267 Calculator

Given Input numbers are 719, 925, 380, 267

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

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 925

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

1, 5, 25, 37, 185, 925

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

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Greatest Common Divisior

We found the divisors of 719, 925, 380, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 719, 925, 380, 267 is 1.

Therefore, GCD of numbers 719, 925, 380, 267 is 1

Given Input Data is 719, 925, 380, 267

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

Prime Factorization of 719 is 719

Prime Factorization of 925 is 5 x 5 x 37

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

Prime Factorization of 267 is 3 x 89

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(719, 925) = 665075

GCD(719, 925) = ( 719 x 925 ) / 665075

GCD(719, 925) = 665075 / 665075

GCD(719, 925) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 267

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

LCM(1, 267) = 267

GCD(1, 267) = ( 1 x 267 ) / 267

GCD(1, 267) = 267 / 267

GCD(1, 267) = 1

GCD of 719, 925, 380, 267 is 1

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1. What is the GCD of 719, 925, 380, 267?

GCD of 719, 925, 380, 267 is 1

2. Where do I get the detailed procedure to find GCD of 719, 925, 380, 267?

You can find a detailed procedure to find GCD of 719, 925, 380, 267 on our page.

3. How to find GCD of 719, 925, 380, 267 on a calculator?

You can find the GCD of 719, 925, 380, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.