GCD of 919, 725, 65, 372 Calculator

Given Input numbers are 919, 725, 65, 372

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

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 725

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

1, 5, 25, 29, 145, 725

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Greatest Common Divisior

We found the divisors of 919, 725, 65, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 919, 725, 65, 372 is 1.

Therefore, GCD of numbers 919, 725, 65, 372 is 1

Given Input Data is 919, 725, 65, 372

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

Prime Factorization of 919 is 919

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 65 is 5 x 13

Prime Factorization of 372 is 2 x 2 x 3 x 31

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(919, 725) = 666275

GCD(919, 725) = ( 919 x 725 ) / 666275

GCD(919, 725) = 666275 / 666275

GCD(919, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 372

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

LCM(1, 372) = 372

GCD(1, 372) = ( 1 x 372 ) / 372

GCD(1, 372) = 372 / 372

GCD(1, 372) = 1

GCD of 919, 725, 65, 372 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 720, 65, 607
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• GCD of 805, 351, 69, 292

1. What is the GCD of 919, 725, 65, 372?

GCD of 919, 725, 65, 372 is 1

2. Where do I get the detailed procedure to find GCD of 919, 725, 65, 372?

You can find a detailed procedure to find GCD of 919, 725, 65, 372 on our page.

3. How to find GCD of 919, 725, 65, 372 on a calculator?

You can find the GCD of 919, 725, 65, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.