GCD of 871, 309, 424, 442 Calculator

Given Input numbers are 871, 309, 424, 442

In the factoring method, we have to find the divisors of all numbers

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (871, 309, 424, 442) = 1.

Given numbers are 871, 309, 424, 442

The list of prime factors of all numbers are

Prime factors of 871 are 13 x 67

Prime factors of 309 are 3 x 103

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 442 are 2 x 13 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 871, 309, 424, 442

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(871, 309) = 269139

GCD(871, 309) = ( 871 x 309 ) / 269139

= 871 / 309

= 871

Step2:

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

= 1 / 424

= 1

Step3:

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

= 1 / 442

= 1

So, Greatest Common Divisor of 871, 309, 424, 442 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 488, 790, 132, 470
• GCD of 111, 604, 277, 160
• GCD of 871, 939, 148, 401
• GCD of 523, 871, 726, 844
• GCD of 835, 338, 696, 321

Given numbers are 871, 309, 424, 442
The greatest common divisor of numbers 871, 309, 424, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 309, 424, 442 is 1.

1. What is the GCD of 871, 309, 424, 442?

GCD of given numbers 871, 309, 424, 442 is 1

2. How to calculate the greatest common divisor of 871, 309, 424, 442?

We can find the highest common divisor of 871, 309, 424, 442 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 871, 309, 424, 442 i.e 1.

3. How can I use the GCD of 871, 309, 424, 442Calculator?

Out the numbers 871, 309, 424, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.