GCD of 695, 825, 53, 301 Calculator

Given Input numbers are 695, 825, 53, 301

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

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 695, 825, 53, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 695, 825, 53, 301 is 1.

Therefore, GCD of numbers 695, 825, 53, 301 is 1

Given Input Data is 695, 825, 53, 301

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

Prime Factorization of 695 is 5 x 139

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 53 is 53

Prime Factorization of 301 is 7 x 43

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(695, 825) = 114675

GCD(695, 825) = ( 695 x 825 ) / 114675

GCD(695, 825) = 573375 / 114675

GCD(695, 825) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 53

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

LCM(5, 53) = 265

GCD(5, 53) = ( 5 x 53 ) / 265

GCD(5, 53) = 265 / 265

GCD(5, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

GCD of 695, 825, 53, 301 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 245, 52, 934
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• GCD of 870, 299, 69, 738
• GCD of 455, 862, 54, 641
• GCD of 254, 666, 21, 431

1. What is the GCD of 695, 825, 53, 301?

GCD of 695, 825, 53, 301 is 1

2. Where do I get the detailed procedure to find GCD of 695, 825, 53, 301?

You can find a detailed procedure to find GCD of 695, 825, 53, 301 on our page.

3. How to find GCD of 695, 825, 53, 301 on a calculator?

You can find the GCD of 695, 825, 53, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.