GCD of 324, 135, 742, 874 Calculator

Given Input numbers are 324, 135, 742, 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 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

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, 135, 742, 874) = 1.

Given numbers are 324, 135, 742, 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 135 are 3 x 3 x 3 x 5

Prime factors of 742 are 2 x 7 x 53

Prime factors of 874 are 2 x 19 x 23

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

Given numbers are 324, 135, 742, 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, 135) = 1620

GCD(324, 135) = ( 324 x 135 ) / 1620

= 324 / 135

= 324

Step2:

LCM(27, 742) = 20034

GCD(27, 742) = ( 27 x 742 ) / 20034

= 27 / 742

= 27

Step3:

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

= 1 / 874

= 1

So, Greatest Common Divisor of 324, 135, 742, 874 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 551, 759, 200
• GCD of 731, 282, 253, 333
• GCD of 493, 311, 159, 317
• GCD of 742, 842, 640, 766
• GCD of 647, 279, 273, 250

Given numbers are 324, 135, 742, 874
The greatest common divisor of numbers 324, 135, 742, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 135, 742, 874 is 1.

1. What is the GCD of 324, 135, 742, 874?

GCD of given numbers 324, 135, 742, 874 is 1

2. How to calculate the greatest common divisor of 324, 135, 742, 874?

We can find the highest common divisor of 324, 135, 742, 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, 135, 742, 874 i.e 1.

3. How can I use the GCD of 324, 135, 742, 874Calculator?

Out the numbers 324, 135, 742, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.