GCD of 844, 578, 98, 315 Calculator

Given Input numbers are 844, 578, 98, 315

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

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

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 844, 578, 98, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 844, 578, 98, 315 is 1.

Therefore, GCD of numbers 844, 578, 98, 315 is 1

Given Input Data is 844, 578, 98, 315

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

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 98 is 2 x 7 x 7

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(844, 578) = 243916

GCD(844, 578) = ( 844 x 578 ) / 243916

GCD(844, 578) = 487832 / 243916

GCD(844, 578) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 315

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

LCM(2, 315) = 630

GCD(2, 315) = ( 2 x 315 ) / 630

GCD(2, 315) = 630 / 630

GCD(2, 315) = 1

GCD of 844, 578, 98, 315 is 1

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1. What is the GCD of 844, 578, 98, 315?

GCD of 844, 578, 98, 315 is 1

2. Where do I get the detailed procedure to find GCD of 844, 578, 98, 315?

You can find a detailed procedure to find GCD of 844, 578, 98, 315 on our page.

3. How to find GCD of 844, 578, 98, 315 on a calculator?

You can find the GCD of 844, 578, 98, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.