GCD of 463, 274, 336, 677 Calculator

Given Input numbers are 463, 274, 336, 677

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 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 463, 274, 336, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 274, 336, 677 is 1.

Therefore, GCD of numbers 463, 274, 336, 677 is 1

Given Input Data is 463, 274, 336, 677

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

Prime Factorization of 463 is 463

Prime Factorization of 274 is 2 x 137

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 677 is 677

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, 274) = 126862

GCD(463, 274) = ( 463 x 274 ) / 126862

GCD(463, 274) = 126862 / 126862

GCD(463, 274) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 336

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

LCM(1, 336) = 336

GCD(1, 336) = ( 1 x 336 ) / 336

GCD(1, 336) = 336 / 336

GCD(1, 336) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 463, 274, 336, 677 is 1

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1. What is the GCD of 463, 274, 336, 677?

GCD of 463, 274, 336, 677 is 1

2. Where do I get the detailed procedure to find GCD of 463, 274, 336, 677?

You can find a detailed procedure to find GCD of 463, 274, 336, 677 on our page.

3. How to find GCD of 463, 274, 336, 677 on a calculator?

You can find the GCD of 463, 274, 336, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.