GCD of 71, 706, 987, 408 Calculator

Given Input numbers are 71, 706, 987, 408

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

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 71, 706, 987, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 706, 987, 408 is 1.

Therefore, GCD of numbers 71, 706, 987, 408 is 1

Given Input Data is 71, 706, 987, 408

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

Prime Factorization of 71 is 71

Prime Factorization of 706 is 2 x 353

Prime Factorization of 987 is 3 x 7 x 47

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(71, 706) = 50126

GCD(71, 706) = ( 71 x 706 ) / 50126

GCD(71, 706) = 50126 / 50126

GCD(71, 706) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 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 71, 706, 987, 408 is 1

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1. What is the GCD of 71, 706, 987, 408?

GCD of 71, 706, 987, 408 is 1

2. Where do I get the detailed procedure to find GCD of 71, 706, 987, 408?

You can find a detailed procedure to find GCD of 71, 706, 987, 408 on our page.

3. How to find GCD of 71, 706, 987, 408 on a calculator?

You can find the GCD of 71, 706, 987, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.