GCD of 497, 106, 170, 374 Calculator

Given Input numbers are 497, 106, 170, 374

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 497, 106, 170, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 106, 170, 374 is 1.

Therefore, GCD of numbers 497, 106, 170, 374 is 1

Given Input Data is 497, 106, 170, 374

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 106 is 2 x 53

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 374 is 2 x 11 x 17

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(497, 106) = 52682

GCD(497, 106) = ( 497 x 106 ) / 52682

GCD(497, 106) = 52682 / 52682

GCD(497, 106) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 170

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

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

GCD(1, 170) = 170 / 170

GCD(1, 170) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

GCD of 497, 106, 170, 374 is 1

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1. What is the GCD of 497, 106, 170, 374?

GCD of 497, 106, 170, 374 is 1

2. Where do I get the detailed procedure to find GCD of 497, 106, 170, 374?

You can find a detailed procedure to find GCD of 497, 106, 170, 374 on our page.

3. How to find GCD of 497, 106, 170, 374 on a calculator?

You can find the GCD of 497, 106, 170, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.