GCD of 675, 420, 60, 334 Calculator

Given Input numbers are 675, 420, 60, 334

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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 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 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 675, 420, 60, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 420, 60, 334 is 1.

Therefore, GCD of numbers 675, 420, 60, 334 is 1

Given Input Data is 675, 420, 60, 334

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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

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

Prime Factorization of 334 is 2 x 167

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(675, 420) = 18900

GCD(675, 420) = ( 675 x 420 ) / 18900

GCD(675, 420) = 283500 / 18900

GCD(675, 420) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 60

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

LCM(15, 60) = 60

GCD(15, 60) = ( 15 x 60 ) / 60

GCD(15, 60) = 900 / 60

GCD(15, 60) = 15

Step3:

Here we consider the GCD from the above i.e. 15 as first number and the next as 334

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

LCM(15, 334) = 5010

GCD(15, 334) = ( 15 x 334 ) / 5010

GCD(15, 334) = 5010 / 5010

GCD(15, 334) = 1

GCD of 675, 420, 60, 334 is 1

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1. What is the GCD of 675, 420, 60, 334?

GCD of 675, 420, 60, 334 is 1

2. Where do I get the detailed procedure to find GCD of 675, 420, 60, 334?

You can find a detailed procedure to find GCD of 675, 420, 60, 334 on our page.

3. How to find GCD of 675, 420, 60, 334 on a calculator?

You can find the GCD of 675, 420, 60, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.