GCD of 370, 462, 498, 931 Calculator

Given Input numbers are 370, 462, 498, 931

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

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Greatest Common Divisior

We found the divisors of 370, 462, 498, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 462, 498, 931 is 1.

Therefore, GCD of numbers 370, 462, 498, 931 is 1

Given Input Data is 370, 462, 498, 931

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 931 is 7 x 7 x 19

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(370, 462) = 85470

GCD(370, 462) = ( 370 x 462 ) / 85470

GCD(370, 462) = 170940 / 85470

GCD(370, 462) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 498

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

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

GCD(2, 498) = 996 / 498

GCD(2, 498) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 931

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

LCM(2, 931) = 1862

GCD(2, 931) = ( 2 x 931 ) / 1862

GCD(2, 931) = 1862 / 1862

GCD(2, 931) = 1

GCD of 370, 462, 498, 931 is 1

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1. What is the GCD of 370, 462, 498, 931?

GCD of 370, 462, 498, 931 is 1

2. Where do I get the detailed procedure to find GCD of 370, 462, 498, 931?

You can find a detailed procedure to find GCD of 370, 462, 498, 931 on our page.

3. How to find GCD of 370, 462, 498, 931 on a calculator?

You can find the GCD of 370, 462, 498, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.