GCD of 624, 428, 854, 874 Calculator

Given Input numbers are 624, 428, 854, 874

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

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 874 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (624, 428, 854, 874) = 2.

Given numbers are 624, 428, 854, 874

The list of prime factors of all numbers are

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 428 are 2 x 2 x 107

Prime factors of 854 are 2 x 7 x 61

Prime factors of 874 are 2 x 19 x 23

The highest common occurrence is 2¹

Therefore, GCD of 624, 428, 854, 874 is 2.

Given numbers are 624, 428, 854, 874

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

Apply this formula for all numbers.

Step1:

LCM(624, 428) = 66768

GCD(624, 428) = ( 624 x 428 ) / 66768

= 624 / 428

= 624

Step2:

LCM(4, 854) = 1708

GCD(4, 854) = ( 4 x 854 ) / 1708

= 4 / 854

= 4

Step3:

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

= 2 / 874

= 2

So, Greatest Common Divisor of 624, 428, 854, 874 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 484, 280, 128, 318
• GCD of 365, 932, 579, 782
• GCD of 858, 402, 610, 431
• GCD of 881, 342, 645, 436
• GCD of 168, 493, 497, 522

Given numbers are 624, 428, 854, 874
The greatest common divisor of numbers 624, 428, 854, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 428, 854, 874 is 2.

1. What is the GCD of 624, 428, 854, 874?

GCD of given numbers 624, 428, 854, 874 is 2

2. How to calculate the greatest common divisor of 624, 428, 854, 874?

We can find the highest common divisor of 624, 428, 854, 874 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 624, 428, 854, 874 i.e 2.

3. How can I use the GCD of 624, 428, 854, 874Calculator?

Out the numbers 624, 428, 854, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.