GCD of 637, 245, 695, 754 Calculator

Given Input numbers are 637, 245, 695, 754

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

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 245

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

1, 5, 7, 35, 49, 245

Divisors of 695

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

1, 5, 139, 695

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 637, 245, 695, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 245, 695, 754 is 1.

Therefore, GCD of numbers 637, 245, 695, 754 is 1

Given Input Data is 637, 245, 695, 754

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

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 695 is 5 x 139

Prime Factorization of 754 is 2 x 13 x 29

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(637, 245) = 3185

GCD(637, 245) = ( 637 x 245 ) / 3185

GCD(637, 245) = 156065 / 3185

GCD(637, 245) = 49

Step2:

Here we consider the GCD from the above i.e. 49 as first number and the next as 695

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

LCM(49, 695) = 34055

GCD(49, 695) = ( 49 x 695 ) / 34055

GCD(49, 695) = 34055 / 34055

GCD(49, 695) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

GCD of 637, 245, 695, 754 is 1

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1. What is the GCD of 637, 245, 695, 754?

GCD of 637, 245, 695, 754 is 1

2. Where do I get the detailed procedure to find GCD of 637, 245, 695, 754?

You can find a detailed procedure to find GCD of 637, 245, 695, 754 on our page.

3. How to find GCD of 637, 245, 695, 754 on a calculator?

You can find the GCD of 637, 245, 695, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.