GCD of 756, 427, 725, 245 Calculator

Given Input numbers are 756, 427, 725, 245

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 725

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

1, 5, 25, 29, 145, 725

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Greatest Common Divisior

We found the divisors of 756, 427, 725, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 427, 725, 245 is 1.

Therefore, GCD of numbers 756, 427, 725, 245 is 1

Given Input Data is 756, 427, 725, 245

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 427 is 7 x 61

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 245 is 5 x 7 x 7

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(756, 427) = 46116

GCD(756, 427) = ( 756 x 427 ) / 46116

GCD(756, 427) = 322812 / 46116

GCD(756, 427) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 725

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

LCM(7, 725) = 5075

GCD(7, 725) = ( 7 x 725 ) / 5075

GCD(7, 725) = 5075 / 5075

GCD(7, 725) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 245

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

LCM(1, 245) = 245

GCD(1, 245) = ( 1 x 245 ) / 245

GCD(1, 245) = 245 / 245

GCD(1, 245) = 1

GCD of 756, 427, 725, 245 is 1

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1. What is the GCD of 756, 427, 725, 245?

GCD of 756, 427, 725, 245 is 1

2. Where do I get the detailed procedure to find GCD of 756, 427, 725, 245?

You can find a detailed procedure to find GCD of 756, 427, 725, 245 on our page.

3. How to find GCD of 756, 427, 725, 245 on a calculator?

You can find the GCD of 756, 427, 725, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.