GCD of 25, 365, 735, 395 Calculator

Given Input numbers are 25, 365, 735, 395

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

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Greatest Common Divisior

We found the divisors of 25, 365, 735, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 365, 735, 395 is 5.

Therefore, GCD of numbers 25, 365, 735, 395 is 5

Given Input Data is 25, 365, 735, 395

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 365 is 5 x 73

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 395 is 5 x 79

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(25, 365) = 1825

GCD(25, 365) = ( 25 x 365 ) / 1825

GCD(25, 365) = 9125 / 1825

GCD(25, 365) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 735

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

LCM(5, 735) = 735

GCD(5, 735) = ( 5 x 735 ) / 735

GCD(5, 735) = 3675 / 735

GCD(5, 735) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 395

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

LCM(5, 395) = 395

GCD(5, 395) = ( 5 x 395 ) / 395

GCD(5, 395) = 1975 / 395

GCD(5, 395) = 5

GCD of 25, 365, 735, 395 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 976, 897, 546
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• GCD of 81, 625, 883, 423
• GCD of 37, 876, 885, 513

1. What is the GCD of 25, 365, 735, 395?

GCD of 25, 365, 735, 395 is 5

2. Where do I get the detailed procedure to find GCD of 25, 365, 735, 395?

You can find a detailed procedure to find GCD of 25, 365, 735, 395 on our page.

3. How to find GCD of 25, 365, 735, 395 on a calculator?

You can find the GCD of 25, 365, 735, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.