GCD of 834, 684, 574, 924 Calculator

Given Input numbers are 834, 684, 574, 924

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

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

GCD of numbers is the greatest common divisor

So, the GCD (834, 684, 574, 924) = 2.

Given numbers are 834, 684, 574, 924

The list of prime factors of all numbers are

Prime factors of 834 are 2 x 3 x 139

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 574 are 2 x 7 x 41

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 834, 684, 574, 924 is 2.

Given numbers are 834, 684, 574, 924

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

Apply this formula for all numbers.

Step1:

LCM(834, 684) = 95076

GCD(834, 684) = ( 834 x 684 ) / 95076

= 834 / 684

= 834

Step2:

LCM(6, 574) = 1722

GCD(6, 574) = ( 6 x 574 ) / 1722

= 6 / 574

= 6

Step3:

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

= 2 / 924

= 2

So, Greatest Common Divisor of 834, 684, 574, 924 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 765, 523, 844, 951
• GCD of 380, 673, 106, 632
• GCD of 545, 854, 996, 758
• GCD of 583, 763, 356, 189
• GCD of 730, 285, 681, 223

Given numbers are 834, 684, 574, 924
The greatest common divisor of numbers 834, 684, 574, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 684, 574, 924 is 2.

1. What is the GCD of 834, 684, 574, 924?

GCD of given numbers 834, 684, 574, 924 is 2

2. How to calculate the greatest common divisor of 834, 684, 574, 924?

We can find the highest common divisor of 834, 684, 574, 924 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 834, 684, 574, 924 i.e 2.

3. How can I use the GCD of 834, 684, 574, 924Calculator?

Out the numbers 834, 684, 574, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.