GCD of 637, 350, 14, 582 Calculator

Given Input numbers are 637, 350, 14, 582

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

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Greatest Common Divisior

We found the divisors of 637, 350, 14, 582 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 350, 14, 582 is 1.

Therefore, GCD of numbers 637, 350, 14, 582 is 1

Given Input Data is 637, 350, 14, 582

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

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 14 is 2 x 7

Prime Factorization of 582 is 2 x 3 x 97

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(637, 350) = 31850

GCD(637, 350) = ( 637 x 350 ) / 31850

GCD(637, 350) = 222950 / 31850

GCD(637, 350) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 14

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

LCM(7, 14) = 14

GCD(7, 14) = ( 7 x 14 ) / 14

GCD(7, 14) = 98 / 14

GCD(7, 14) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 582

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

LCM(7, 582) = 4074

GCD(7, 582) = ( 7 x 582 ) / 4074

GCD(7, 582) = 4074 / 4074

GCD(7, 582) = 1

GCD of 637, 350, 14, 582 is 1

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• GCD of 853, 242, 84, 421
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1. What is the GCD of 637, 350, 14, 582?

GCD of 637, 350, 14, 582 is 1

2. Where do I get the detailed procedure to find GCD of 637, 350, 14, 582?

You can find a detailed procedure to find GCD of 637, 350, 14, 582 on our page.

3. How to find GCD of 637, 350, 14, 582 on a calculator?

You can find the GCD of 637, 350, 14, 582 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.