GCD of 245, 148, 427, 714 Calculator

Given Input numbers are 245, 148, 427, 714

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

Divisors of 245

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

1, 5, 7, 35, 49, 245

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 427

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

1, 7, 61, 427

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 245, 148, 427, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 148, 427, 714 is 1.

Therefore, GCD of numbers 245, 148, 427, 714 is 1

Given Input Data is 245, 148, 427, 714

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

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 427 is 7 x 61

Prime Factorization of 714 is 2 x 3 x 7 x 17

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(245, 148) = 36260

GCD(245, 148) = ( 245 x 148 ) / 36260

GCD(245, 148) = 36260 / 36260

GCD(245, 148) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 245, 148, 427, 714 is 1

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1. What is the GCD of 245, 148, 427, 714?

GCD of 245, 148, 427, 714 is 1

2. Where do I get the detailed procedure to find GCD of 245, 148, 427, 714?

You can find a detailed procedure to find GCD of 245, 148, 427, 714 on our page.

3. How to find GCD of 245, 148, 427, 714 on a calculator?

You can find the GCD of 245, 148, 427, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.