GCD of 428, 874, 13, 822 Calculator

Given Input numbers are 428, 874, 13, 822

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 13 :

The positive integer divisors of 13 that completely divides 13 are.

1, 13

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (428, 874, 13, 822) = 1.

Given numbers are 428, 874, 13, 822

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 874 are 2 x 19 x 23

Prime factors of 13 are 13

Prime factors of 822 are 2 x 3 x 137

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

Given numbers are 428, 874, 13, 822

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

Apply this formula for all numbers.

Step1:

LCM(428, 874) = 187036

GCD(428, 874) = ( 428 x 874 ) / 187036

= 428 / 874

= 428

Step2:

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

= 2 / 13

= 2

Step3:

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

= 1 / 822

= 1

So, Greatest Common Divisor of 428, 874, 13, 822 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 711, 26, 838
• GCD of 526, 289, 49, 468
• GCD of 265, 448, 70, 190
• GCD of 241, 281, 87, 890
• GCD of 663, 159, 36, 624

Given numbers are 428, 874, 13, 822
The greatest common divisor of numbers 428, 874, 13, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 874, 13, 822 is 1.

1. What is the GCD of 428, 874, 13, 822?

GCD of given numbers 428, 874, 13, 822 is 1

2. How to calculate the greatest common divisor of 428, 874, 13, 822?

We can find the highest common divisor of 428, 874, 13, 822 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 428, 874, 13, 822 i.e 1.

3. How can I use the GCD of 428, 874, 13, 822Calculator?

Out the numbers 428, 874, 13, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.