GCD of 413, 140, 567, 302 Calculator

Given Input numbers are 413, 140, 567, 302

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

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 302

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

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 413, 140, 567, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 140, 567, 302 is 1.

Therefore, GCD of numbers 413, 140, 567, 302 is 1

Given Input Data is 413, 140, 567, 302

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 302 is 2 x 151

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(413, 140) = 8260

GCD(413, 140) = ( 413 x 140 ) / 8260

GCD(413, 140) = 57820 / 8260

GCD(413, 140) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 567

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

LCM(7, 567) = 567

GCD(7, 567) = ( 7 x 567 ) / 567

GCD(7, 567) = 3969 / 567

GCD(7, 567) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 302

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

LCM(7, 302) = 2114

GCD(7, 302) = ( 7 x 302 ) / 2114

GCD(7, 302) = 2114 / 2114

GCD(7, 302) = 1

GCD of 413, 140, 567, 302 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 563, 281, 399
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• GCD of 504, 635, 255, 325

1. What is the GCD of 413, 140, 567, 302?

GCD of 413, 140, 567, 302 is 1

2. Where do I get the detailed procedure to find GCD of 413, 140, 567, 302?

You can find a detailed procedure to find GCD of 413, 140, 567, 302 on our page.

3. How to find GCD of 413, 140, 567, 302 on a calculator?

You can find the GCD of 413, 140, 567, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.