GCD of 370, 856, 53, 498 Calculator

Given Input numbers are 370, 856, 53, 498

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 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 498

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

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

Greatest Common Divisior

We found the divisors of 370, 856, 53, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 856, 53, 498 is 1.

Therefore, GCD of numbers 370, 856, 53, 498 is 1

Given Input Data is 370, 856, 53, 498

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 856 is 2 x 2 x 2 x 107

Prime Factorization of 53 is 53

Prime Factorization of 498 is 2 x 3 x 83

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, 856) = 158360

GCD(370, 856) = ( 370 x 856 ) / 158360

GCD(370, 856) = 316720 / 158360

GCD(370, 856) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 370, 856, 53, 498 is 1

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1. What is the GCD of 370, 856, 53, 498?

GCD of 370, 856, 53, 498 is 1

2. Where do I get the detailed procedure to find GCD of 370, 856, 53, 498?

You can find a detailed procedure to find GCD of 370, 856, 53, 498 on our page.

3. How to find GCD of 370, 856, 53, 498 on a calculator?

You can find the GCD of 370, 856, 53, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.