GCD of 143, 630, 31, 703 Calculator

Given Input numbers are 143, 630, 31, 703

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

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Greatest Common Divisior

We found the divisors of 143, 630, 31, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 630, 31, 703 is 1.

Therefore, GCD of numbers 143, 630, 31, 703 is 1

Given Input Data is 143, 630, 31, 703

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

Prime Factorization of 143 is 11 x 13

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 31 is 31

Prime Factorization of 703 is 19 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(143, 630) = 90090

GCD(143, 630) = ( 143 x 630 ) / 90090

GCD(143, 630) = 90090 / 90090

GCD(143, 630) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 1

GCD of 143, 630, 31, 703 is 1

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1. What is the GCD of 143, 630, 31, 703?

GCD of 143, 630, 31, 703 is 1

2. Where do I get the detailed procedure to find GCD of 143, 630, 31, 703?

You can find a detailed procedure to find GCD of 143, 630, 31, 703 on our page.

3. How to find GCD of 143, 630, 31, 703 on a calculator?

You can find the GCD of 143, 630, 31, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.