GCD of 871, 657, 76, 408 Calculator

Given Input numbers are 871, 657, 76, 408

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

Divisors of 871

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

1, 13, 67, 871

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 871, 657, 76, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 657, 76, 408 is 1.

Therefore, GCD of numbers 871, 657, 76, 408 is 1

Given Input Data is 871, 657, 76, 408

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 408 is 2 x 2 x 2 x 3 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(871, 657) = 572247

GCD(871, 657) = ( 871 x 657 ) / 572247

GCD(871, 657) = 572247 / 572247

GCD(871, 657) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 871, 657, 76, 408 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 477, 66, 115
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• GCD of 239, 457, 73, 181
• GCD of 301, 782, 87, 215
• GCD of 636, 343, 70, 933

1. What is the GCD of 871, 657, 76, 408?

GCD of 871, 657, 76, 408 is 1

2. Where do I get the detailed procedure to find GCD of 871, 657, 76, 408?

You can find a detailed procedure to find GCD of 871, 657, 76, 408 on our page.

3. How to find GCD of 871, 657, 76, 408 on a calculator?

You can find the GCD of 871, 657, 76, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.