GCD of 61, 287, 142, 510 Calculator

Given Input numbers are 61, 287, 142, 510

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 287

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

1, 7, 41, 287

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Greatest Common Divisior

We found the divisors of 61, 287, 142, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 287, 142, 510 is 1.

Therefore, GCD of numbers 61, 287, 142, 510 is 1

Given Input Data is 61, 287, 142, 510

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

Prime Factorization of 61 is 61

Prime Factorization of 287 is 7 x 41

Prime Factorization of 142 is 2 x 71

Prime Factorization of 510 is 2 x 3 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(61, 287) = 17507

GCD(61, 287) = ( 61 x 287 ) / 17507

GCD(61, 287) = 17507 / 17507

GCD(61, 287) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 510

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

LCM(1, 510) = 510

GCD(1, 510) = ( 1 x 510 ) / 510

GCD(1, 510) = 510 / 510

GCD(1, 510) = 1

GCD of 61, 287, 142, 510 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 441, 817, 582
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• GCD of 50, 607, 263, 214
• GCD of 27, 806, 265, 803
• GCD of 47, 889, 714, 928

1. What is the GCD of 61, 287, 142, 510?

GCD of 61, 287, 142, 510 is 1

2. Where do I get the detailed procedure to find GCD of 61, 287, 142, 510?

You can find a detailed procedure to find GCD of 61, 287, 142, 510 on our page.

3. How to find GCD of 61, 287, 142, 510 on a calculator?

You can find the GCD of 61, 287, 142, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.