GCD of 629, 648, 35, 745 Calculator

Given Input numbers are 629, 648, 35, 745

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

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 629, 648, 35, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 629, 648, 35, 745 is 1.

Therefore, GCD of numbers 629, 648, 35, 745 is 1

Given Input Data is 629, 648, 35, 745

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

Prime Factorization of 629 is 17 x 37

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 35 is 5 x 7

Prime Factorization of 745 is 5 x 149

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(629, 648) = 407592

GCD(629, 648) = ( 629 x 648 ) / 407592

GCD(629, 648) = 407592 / 407592

GCD(629, 648) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

GCD of 629, 648, 35, 745 is 1

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• GCD of 757, 917, 65, 325

1. What is the GCD of 629, 648, 35, 745?

GCD of 629, 648, 35, 745 is 1

2. Where do I get the detailed procedure to find GCD of 629, 648, 35, 745?

You can find a detailed procedure to find GCD of 629, 648, 35, 745 on our page.

3. How to find GCD of 629, 648, 35, 745 on a calculator?

You can find the GCD of 629, 648, 35, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.