GCD of 744, 138, 984, 320 Calculator

Given Input numbers are 744, 138, 984, 320

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

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (744, 138, 984, 320) = 2.

Given numbers are 744, 138, 984, 320

The list of prime factors of all numbers are

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

Prime factors of 138 are 2 x 3 x 23

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 744, 138, 984, 320 is 2.

Given numbers are 744, 138, 984, 320

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

Apply this formula for all numbers.

Step1:

LCM(744, 138) = 17112

GCD(744, 138) = ( 744 x 138 ) / 17112

= 744 / 138

= 744

Step2:

LCM(6, 984) = 984

GCD(6, 984) = ( 6 x 984 ) / 984

= 6 / 984

= 6

Step3:

LCM(6, 320) = 960

GCD(6, 320) = ( 6 x 320 ) / 960

= 6 / 320

= 6

So, Greatest Common Divisor of 744, 138, 984, 320 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 883, 654, 949, 603
• GCD of 760, 600, 689, 754
• GCD of 457, 888, 632, 412
• GCD of 899, 861, 258, 193
• GCD of 976, 324, 671, 940

Given numbers are 744, 138, 984, 320
The greatest common divisor of numbers 744, 138, 984, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 138, 984, 320 is 2.

1. What is the GCD of 744, 138, 984, 320?

GCD of given numbers 744, 138, 984, 320 is 2

2. How to calculate the greatest common divisor of 744, 138, 984, 320?

We can find the highest common divisor of 744, 138, 984, 320 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 744, 138, 984, 320 i.e 2.

3. How can I use the GCD of 744, 138, 984, 320Calculator?

Out the numbers 744, 138, 984, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.