GCD of 497, 919, 298, 315 Calculator

Given Input numbers are 497, 919, 298, 315

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 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 497, 919, 298, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 919, 298, 315 is 1.

Therefore, GCD of numbers 497, 919, 298, 315 is 1

Given Input Data is 497, 919, 298, 315

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 919 is 919

Prime Factorization of 298 is 2 x 149

Prime Factorization of 315 is 3 x 3 x 5 x 7

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, 919) = 456743

GCD(497, 919) = ( 497 x 919 ) / 456743

GCD(497, 919) = 456743 / 456743

GCD(497, 919) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

GCD of 497, 919, 298, 315 is 1

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1. What is the GCD of 497, 919, 298, 315?

GCD of 497, 919, 298, 315 is 1

2. Where do I get the detailed procedure to find GCD of 497, 919, 298, 315?

You can find a detailed procedure to find GCD of 497, 919, 298, 315 on our page.

3. How to find GCD of 497, 919, 298, 315 on a calculator?

You can find the GCD of 497, 919, 298, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.