GCD of 324, 752, 434, 874 Calculator

Given Input numbers are 324, 752, 434, 874

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

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

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 (324, 752, 434, 874) = 2.

Given numbers are 324, 752, 434, 874

The list of prime factors of all numbers are

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 434 are 2 x 7 x 31

Prime factors of 874 are 2 x 19 x 23

The highest common occurrence is 2¹

Therefore, GCD of 324, 752, 434, 874 is 2.

Given numbers are 324, 752, 434, 874

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

Apply this formula for all numbers.

Step1:

LCM(324, 752) = 60912

GCD(324, 752) = ( 324 x 752 ) / 60912

= 324 / 752

= 324

Step2:

LCM(4, 434) = 868

GCD(4, 434) = ( 4 x 434 ) / 868

= 4 / 434

= 4

Step3:

LCM(2, 874) = 874

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

= 2 / 874

= 2

So, Greatest Common Divisor of 324, 752, 434, 874 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 569, 900, 361, 711
• GCD of 478, 452, 292, 373
• GCD of 355, 603, 451, 408
• GCD of 856, 701, 301, 417
• GCD of 854, 460, 418, 193

Given numbers are 324, 752, 434, 874
The greatest common divisor of numbers 324, 752, 434, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 752, 434, 874 is 2.

1. What is the GCD of 324, 752, 434, 874?

GCD of given numbers 324, 752, 434, 874 is 2

2. How to calculate the greatest common divisor of 324, 752, 434, 874?

We can find the highest common divisor of 324, 752, 434, 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 324, 752, 434, 874 i.e 2.

3. How can I use the GCD of 324, 752, 434, 874Calculator?

Out the numbers 324, 752, 434, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.