GCD of 60, 477, 299, 674 Calculator

Given Input numbers are 60, 477, 299, 674

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

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 60, 477, 299, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 477, 299, 674 is 1.

Therefore, GCD of numbers 60, 477, 299, 674 is 1

Given Input Data is 60, 477, 299, 674

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 299 is 13 x 23

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(60, 477) = 9540

GCD(60, 477) = ( 60 x 477 ) / 9540

GCD(60, 477) = 28620 / 9540

GCD(60, 477) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 299

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

LCM(3, 299) = 897

GCD(3, 299) = ( 3 x 299 ) / 897

GCD(3, 299) = 897 / 897

GCD(3, 299) = 1

Step3:

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 60, 477, 299, 674 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 125, 159, 345
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• GCD of 69, 829, 460, 300

1. What is the GCD of 60, 477, 299, 674?

GCD of 60, 477, 299, 674 is 1

2. Where do I get the detailed procedure to find GCD of 60, 477, 299, 674?

You can find a detailed procedure to find GCD of 60, 477, 299, 674 on our page.

3. How to find GCD of 60, 477, 299, 674 on a calculator?

You can find the GCD of 60, 477, 299, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.