GCD of 25, 995, 537, 742 Calculator

Given Input numbers are 25, 995, 537, 742

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 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 25, 995, 537, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 995, 537, 742 is 1.

Therefore, GCD of numbers 25, 995, 537, 742 is 1

Given Input Data is 25, 995, 537, 742

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 995 is 5 x 199

Prime Factorization of 537 is 3 x 179

Prime Factorization of 742 is 2 x 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(25, 995) = 4975

GCD(25, 995) = ( 25 x 995 ) / 4975

GCD(25, 995) = 24875 / 4975

GCD(25, 995) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 537

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

LCM(5, 537) = 2685

GCD(5, 537) = ( 5 x 537 ) / 2685

GCD(5, 537) = 2685 / 2685

GCD(5, 537) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 25, 995, 537, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 139, 260, 264
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• GCD of 10, 530, 507, 979
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• GCD of 87, 344, 135, 705

1. What is the GCD of 25, 995, 537, 742?

GCD of 25, 995, 537, 742 is 1

2. Where do I get the detailed procedure to find GCD of 25, 995, 537, 742?

You can find a detailed procedure to find GCD of 25, 995, 537, 742 on our page.

3. How to find GCD of 25, 995, 537, 742 on a calculator?

You can find the GCD of 25, 995, 537, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.