GCD of 31, 418, 703, 974 Calculator

Given Input numbers are 31, 418, 703, 974

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

Divisors of 31

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

1, 31

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 703

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

1, 19, 37, 703

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 31, 418, 703, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 418, 703, 974 is 1.

Therefore, GCD of numbers 31, 418, 703, 974 is 1

Given Input Data is 31, 418, 703, 974

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

Prime Factorization of 31 is 31

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 703 is 19 x 37

Prime Factorization of 974 is 2 x 487

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(31, 418) = 12958

GCD(31, 418) = ( 31 x 418 ) / 12958

GCD(31, 418) = 12958 / 12958

GCD(31, 418) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 31, 418, 703, 974 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 859, 714, 480
• GCD of 78, 885, 922, 141
• GCD of 40, 456, 217, 226
• GCD of 39, 985, 597, 467
• GCD of 94, 345, 628, 430

1. What is the GCD of 31, 418, 703, 974?

GCD of 31, 418, 703, 974 is 1

2. Where do I get the detailed procedure to find GCD of 31, 418, 703, 974?

You can find a detailed procedure to find GCD of 31, 418, 703, 974 on our page.

3. How to find GCD of 31, 418, 703, 974 on a calculator?

You can find the GCD of 31, 418, 703, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.