GCD of 125, 585, 704, 371 Calculator

Given Input numbers are 125, 585, 704, 371

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

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 371

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

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 125, 585, 704, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 585, 704, 371 is 1.

Therefore, GCD of numbers 125, 585, 704, 371 is 1

Given Input Data is 125, 585, 704, 371

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 371 is 7 x 53

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(125, 585) = 14625

GCD(125, 585) = ( 125 x 585 ) / 14625

GCD(125, 585) = 73125 / 14625

GCD(125, 585) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 704

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

LCM(5, 704) = 3520

GCD(5, 704) = ( 5 x 704 ) / 3520

GCD(5, 704) = 3520 / 3520

GCD(5, 704) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

GCD of 125, 585, 704, 371 is 1

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1. What is the GCD of 125, 585, 704, 371?

GCD of 125, 585, 704, 371 is 1

2. Where do I get the detailed procedure to find GCD of 125, 585, 704, 371?

You can find a detailed procedure to find GCD of 125, 585, 704, 371 on our page.

3. How to find GCD of 125, 585, 704, 371 on a calculator?

You can find the GCD of 125, 585, 704, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.