GCD of 302, 745, 60, 287 Calculator

Given Input numbers are 302, 745, 60, 287

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

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 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Greatest Common Divisior

We found the divisors of 302, 745, 60, 287 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 745, 60, 287 is 1.

Therefore, GCD of numbers 302, 745, 60, 287 is 1

Given Input Data is 302, 745, 60, 287

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 745 is 5 x 149

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

Prime Factorization of 287 is 7 x 41

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(302, 745) = 224990

GCD(302, 745) = ( 302 x 745 ) / 224990

GCD(302, 745) = 224990 / 224990

GCD(302, 745) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 287

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

LCM(1, 287) = 287

GCD(1, 287) = ( 1 x 287 ) / 287

GCD(1, 287) = 287 / 287

GCD(1, 287) = 1

GCD of 302, 745, 60, 287 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 146, 57, 267
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• GCD of 169, 681, 32, 429
• GCD of 339, 496, 24, 207

1. What is the GCD of 302, 745, 60, 287?

GCD of 302, 745, 60, 287 is 1

2. Where do I get the detailed procedure to find GCD of 302, 745, 60, 287?

You can find a detailed procedure to find GCD of 302, 745, 60, 287 on our page.

3. How to find GCD of 302, 745, 60, 287 on a calculator?

You can find the GCD of 302, 745, 60, 287 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.