GCD of 629, 720, 331, 142 Calculator

Given Input numbers are 629, 720, 331, 142

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 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 629, 720, 331, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 629, 720, 331, 142 is 1.

Therefore, GCD of numbers 629, 720, 331, 142 is 1

Given Input Data is 629, 720, 331, 142

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

Prime Factorization of 629 is 17 x 37

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 331 is 331

Prime Factorization of 142 is 2 x 71

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, 720) = 452880

GCD(629, 720) = ( 629 x 720 ) / 452880

GCD(629, 720) = 452880 / 452880

GCD(629, 720) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 331

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

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

GCD(1, 331) = 331 / 331

GCD(1, 331) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 629, 720, 331, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 105, 553, 617, 691
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• GCD of 477, 744, 920, 735
• GCD of 937, 659, 288, 953

1. What is the GCD of 629, 720, 331, 142?

GCD of 629, 720, 331, 142 is 1

2. Where do I get the detailed procedure to find GCD of 629, 720, 331, 142?

You can find a detailed procedure to find GCD of 629, 720, 331, 142 on our page.

3. How to find GCD of 629, 720, 331, 142 on a calculator?

You can find the GCD of 629, 720, 331, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.