GCD of 140, 349, 744, 629 Calculator

Given Input numbers are 140, 349, 744, 629

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

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 629

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

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 140, 349, 744, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 349, 744, 629 is 1.

Therefore, GCD of numbers 140, 349, 744, 629 is 1

Given Input Data is 140, 349, 744, 629

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

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 349 is 349

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 629 is 17 x 37

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(140, 349) = 48860

GCD(140, 349) = ( 140 x 349 ) / 48860

GCD(140, 349) = 48860 / 48860

GCD(140, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 629

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

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

GCD(1, 629) = 629 / 629

GCD(1, 629) = 1

GCD of 140, 349, 744, 629 is 1

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1. What is the GCD of 140, 349, 744, 629?

GCD of 140, 349, 744, 629 is 1

2. Where do I get the detailed procedure to find GCD of 140, 349, 744, 629?

You can find a detailed procedure to find GCD of 140, 349, 744, 629 on our page.

3. How to find GCD of 140, 349, 744, 629 on a calculator?

You can find the GCD of 140, 349, 744, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.