GCD of 420, 463, 674 Calculator

Given Input numbers are 420, 463, 674

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 463

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

1, 463

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 420, 463, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 463, 674 is 1.

Therefore, GCD of numbers 420, 463, 674 is 1

Given Input Data is 420, 463, 674

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 463 is 463

Prime Factorization of 674 is 2 x 337

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(420, 463) = 194460

GCD(420, 463) = ( 420 x 463 ) / 194460

GCD(420, 463) = 194460 / 194460

GCD(420, 463) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 420, 463, 674 is 1

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1. What is the GCD of 420, 463, 674?

GCD of 420, 463, 674 is 1

2. Where do I get the detailed procedure to find GCD of 420, 463, 674?

You can find a detailed procedure to find GCD of 420, 463, 674 on our page.

3. How to find GCD of 420, 463, 674 on a calculator?

You can find the GCD of 420, 463, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.