GCD of 725, 377, 760, 287 Calculator

Given Input numbers are 725, 377, 760, 287

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

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Greatest Common Divisior

We found the divisors of 725, 377, 760, 287 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 377, 760, 287 is 1.

Therefore, GCD of numbers 725, 377, 760, 287 is 1

Given Input Data is 725, 377, 760, 287

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

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 377 is 13 x 29

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 287 is 7 x 41

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(725, 377) = 9425

GCD(725, 377) = ( 725 x 377 ) / 9425

GCD(725, 377) = 273325 / 9425

GCD(725, 377) = 29

Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 760

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

LCM(29, 760) = 22040

GCD(29, 760) = ( 29 x 760 ) / 22040

GCD(29, 760) = 22040 / 22040

GCD(29, 760) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 287

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

LCM(1, 287) = 287

GCD(1, 287) = ( 1 x 287 ) / 287

GCD(1, 287) = 287 / 287

GCD(1, 287) = 1

GCD of 725, 377, 760, 287 is 1

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• GCD of 992, 392, 361, 175
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1. What is the GCD of 725, 377, 760, 287?

GCD of 725, 377, 760, 287 is 1

2. Where do I get the detailed procedure to find GCD of 725, 377, 760, 287?

You can find a detailed procedure to find GCD of 725, 377, 760, 287 on our page.

3. How to find GCD of 725, 377, 760, 287 on a calculator?

You can find the GCD of 725, 377, 760, 287 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.