GCD of 924, 642, 234, 744 Calculator

Given Input numbers are 924, 642, 234, 744

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

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

GCD of numbers is the greatest common divisor

So, the GCD (924, 642, 234, 744) = 6.

Given numbers are 924, 642, 234, 744

The list of prime factors of all numbers are

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

Prime factors of 642 are 2 x 3 x 107

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 924, 642, 234, 744 is 6.

Given numbers are 924, 642, 234, 744

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

Apply this formula for all numbers.

Step1:

LCM(924, 642) = 98868

GCD(924, 642) = ( 924 x 642 ) / 98868

= 924 / 642

= 924

Step2:

LCM(6, 234) = 234

GCD(6, 234) = ( 6 x 234 ) / 234

= 6 / 234

= 6

Step3:

LCM(6, 744) = 744

GCD(6, 744) = ( 6 x 744 ) / 744

= 6 / 744

= 6

So, Greatest Common Divisor of 924, 642, 234, 744 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 107, 291, 733, 913
• GCD of 767, 926, 575, 175
• GCD of 811, 361, 937, 619
• GCD of 153, 300, 225, 329
• GCD of 417, 425, 593, 474

Given numbers are 924, 642, 234, 744
The greatest common divisor of numbers 924, 642, 234, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 642, 234, 744 is 6.

1. What is the GCD of 924, 642, 234, 744?

GCD of given numbers 924, 642, 234, 744 is 6

2. How to calculate the greatest common divisor of 924, 642, 234, 744?

We can find the highest common divisor of 924, 642, 234, 744 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 924, 642, 234, 744 i.e 6.

3. How can I use the GCD of 924, 642, 234, 744Calculator?

Out the numbers 924, 642, 234, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.