GCD of 60, 281, 298, 340 Calculator

Given Input numbers are 60, 281, 298, 340

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 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 60, 281, 298, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 281, 298, 340 is 1.

Therefore, GCD of numbers 60, 281, 298, 340 is 1

Given Input Data is 60, 281, 298, 340

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 281 is 281

Prime Factorization of 298 is 2 x 149

Prime Factorization of 340 is 2 x 2 x 5 x 17

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, 281) = 16860

GCD(60, 281) = ( 60 x 281 ) / 16860

GCD(60, 281) = 16860 / 16860

GCD(60, 281) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

GCD of 60, 281, 298, 340 is 1

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• GCD of 68, 489, 499, 250
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1. What is the GCD of 60, 281, 298, 340?

GCD of 60, 281, 298, 340 is 1

2. Where do I get the detailed procedure to find GCD of 60, 281, 298, 340?

You can find a detailed procedure to find GCD of 60, 281, 298, 340 on our page.

3. How to find GCD of 60, 281, 298, 340 on a calculator?

You can find the GCD of 60, 281, 298, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.