GCD of 307, 871, 54, 302 Calculator

Given Input numbers are 307, 871, 54, 302

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

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

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 307, 871, 54, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 871, 54, 302 is 1.

Therefore, GCD of numbers 307, 871, 54, 302 is 1

Given Input Data is 307, 871, 54, 302

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

Prime Factorization of 307 is 307

Prime Factorization of 871 is 13 x 67

Prime Factorization of 54 is 2 x 3 x 3 x 3

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(307, 871) = 267397

GCD(307, 871) = ( 307 x 871 ) / 267397

GCD(307, 871) = 267397 / 267397

GCD(307, 871) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

GCD of 307, 871, 54, 302 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 979, 40, 185
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• GCD of 765, 978, 77, 696
• GCD of 266, 678, 88, 254
• GCD of 134, 851, 54, 844

1. What is the GCD of 307, 871, 54, 302?

GCD of 307, 871, 54, 302 is 1

2. Where do I get the detailed procedure to find GCD of 307, 871, 54, 302?

You can find a detailed procedure to find GCD of 307, 871, 54, 302 on our page.

3. How to find GCD of 307, 871, 54, 302 on a calculator?

You can find the GCD of 307, 871, 54, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.