GCD of 463, 634, 98, 678 Calculator

Given Input numbers are 463, 634, 98, 678

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

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 463, 634, 98, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 634, 98, 678 is 1.

Therefore, GCD of numbers 463, 634, 98, 678 is 1

Given Input Data is 463, 634, 98, 678

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

Prime Factorization of 463 is 463

Prime Factorization of 634 is 2 x 317

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 678 is 2 x 3 x 113

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(463, 634) = 293542

GCD(463, 634) = ( 463 x 634 ) / 293542

GCD(463, 634) = 293542 / 293542

GCD(463, 634) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 463, 634, 98, 678 is 1

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1. What is the GCD of 463, 634, 98, 678?

GCD of 463, 634, 98, 678 is 1

2. Where do I get the detailed procedure to find GCD of 463, 634, 98, 678?

You can find a detailed procedure to find GCD of 463, 634, 98, 678 on our page.

3. How to find GCD of 463, 634, 98, 678 on a calculator?

You can find the GCD of 463, 634, 98, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.