GCD of 420, 674, 728, 146 Calculator

Given Input numbers are 420, 674, 728, 146

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 674

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

1, 2, 337, 674

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 420, 674, 728, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 674, 728, 146 is 2.

Therefore, GCD of numbers 420, 674, 728, 146 is 2

Given Input Data is 420, 674, 728, 146

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 674 is 2 x 337

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 146 is 2 x 73

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 674) = 141540

GCD(420, 674) = ( 420 x 674 ) / 141540

GCD(420, 674) = 283080 / 141540

GCD(420, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 728

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

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

GCD(2, 728) = 1456 / 728

GCD(2, 728) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 146

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

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

GCD(2, 146) = 292 / 146

GCD(2, 146) = 2

GCD of 420, 674, 728, 146 is 2

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1. What is the GCD of 420, 674, 728, 146?

GCD of 420, 674, 728, 146 is 2

2. Where do I get the detailed procedure to find GCD of 420, 674, 728, 146?

You can find a detailed procedure to find GCD of 420, 674, 728, 146 on our page.

3. How to find GCD of 420, 674, 728, 146 on a calculator?

You can find the GCD of 420, 674, 728, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.